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Finding the Fourth Proportional to 523.72, 785.16 and 318.24

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Solution

The fourth proportional to 523.72, 785.16 and 318.24 is: 477.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.72 : 785.16 = 318.24 : x
  2. Step 2: Convert to fraction form
    523.72/785.16 = 318.24/x
  3. Step 3: Cross multiply
    523.72x = 785.16 × 318.24
  4. Step 4: Simplify right side
    523.72x = 249,869.32
  5. Step 5: Solve for x
    x = 249,869.32/523.72
  6. Step 6: Final answer
    x = 477.10

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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.