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Finding the Fourth Proportional to 500.43, 750.65 and 486.77

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Solution

The fourth proportional to 500.43, 750.65 and 486.77 is: 730.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.43 : 750.65 = 486.77 : x
  2. Step 2: Convert to fraction form
    500.43/750.65 = 486.77/x
  3. Step 3: Cross multiply
    500.43x = 750.65 × 486.77
  4. Step 4: Simplify right side
    500.43x = 365,387.71
  5. Step 5: Solve for x
    x = 365,387.71/500.43
  6. Step 6: Final answer
    x = 730.15

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