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Finding the Fourth Proportional to 940.35, 1,410.62 and 324.10

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Solution

The fourth proportional to 940.35, 1,410.62 and 324.10 is: 486.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.35 : 1,410.62 = 324.10 : x
  2. Step 2: Convert to fraction form
    940.35/1,410.62 = 324.10/x
  3. Step 3: Cross multiply
    940.35x = 1,410.62 × 324.10
  4. Step 4: Simplify right side
    940.35x = 457,181.94
  5. Step 5: Solve for x
    x = 457,181.94/940.35
  6. Step 6: Final answer
    x = 486.18

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.