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Finding the Fourth Proportional to 477, 715.29 and 147.84

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Solution

The fourth proportional to 477, 715.29 and 147.84 is: 221.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    477 : 715.29 = 147.84 : x
  2. Step 2: Convert to fraction form
    477/715.29 = 147.84/x
  3. Step 3: Cross multiply
    477x = 715.29 × 147.84
  4. Step 4: Simplify right side
    477x = 105,748.47
  5. Step 5: Solve for x
    x = 105,748.47/477
  6. Step 6: Final answer
    x = 221.69

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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.