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Finding the Fourth Proportional to 477, 715.42 and 203.24

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Solution

The fourth proportional to 477, 715.42 and 203.24 is: 304.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    477 : 715.42 = 203.24 : x
  2. Step 2: Convert to fraction form
    477/715.42 = 203.24/x
  3. Step 3: Cross multiply
    477x = 715.42 × 203.24
  4. Step 4: Simplify right side
    477x = 145,401.96
  5. Step 5: Solve for x
    x = 145,401.96/477
  6. Step 6: Final answer
    x = 304.83

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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.