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Finding the Fourth Proportional to 906.36, 1,358.46 and 467.16

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Solution

The fourth proportional to 906.36, 1,358.46 and 467.16 is: 700.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.36 : 1,358.46 = 467.16 : x
  2. Step 2: Convert to fraction form
    906.36/1,358.46 = 467.16/x
  3. Step 3: Cross multiply
    906.36x = 1,358.46 × 467.16
  4. Step 4: Simplify right side
    906.36x = 634,618.17
  5. Step 5: Solve for x
    x = 634,618.17/906.36
  6. Step 6: Final answer
    x = 700.18

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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.