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Finding the Fourth Proportional to 477.87, 715.98 and 404.97

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Solution

The fourth proportional to 477.87, 715.98 and 404.97 is: 606.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.87 : 715.98 = 404.97 : x
  2. Step 2: Convert to fraction form
    477.87/715.98 = 404.97/x
  3. Step 3: Cross multiply
    477.87x = 715.98 × 404.97
  4. Step 4: Simplify right side
    477.87x = 289,950.42
  5. Step 5: Solve for x
    x = 289,950.42/477.87
  6. Step 6: Final answer
    x = 606.76

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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.