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Finding the Fourth Proportional to 500.62, 752.16 and 473

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Solution

The fourth proportional to 500.62, 752.16 and 473 is: 710.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.62 : 752.16 = 473 : x
  2. Step 2: Convert to fraction form
    500.62/752.16 = 473/x
  3. Step 3: Cross multiply
    500.62x = 752.16 × 473
  4. Step 4: Simplify right side
    500.62x = 355,771.68
  5. Step 5: Solve for x
    x = 355,771.68/500.62
  6. Step 6: Final answer
    x = 710.66

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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.