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Finding the Fourth Proportional to 507.54, 760.08 and 467.43

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Solution

The fourth proportional to 507.54, 760.08 and 467.43 is: 700.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.54 : 760.08 = 467.43 : x
  2. Step 2: Convert to fraction form
    507.54/760.08 = 467.43/x
  3. Step 3: Cross multiply
    507.54x = 760.08 × 467.43
  4. Step 4: Simplify right side
    507.54x = 355,284.19
  5. Step 5: Solve for x
    x = 355,284.19/507.54
  6. Step 6: Final answer
    x = 700.01

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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.