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Finding the Fourth Proportional to 477.34, 715.86 and 169.11

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Solution

The fourth proportional to 477.34, 715.86 and 169.11 is: 253.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.34 : 715.86 = 169.11 : x
  2. Step 2: Convert to fraction form
    477.34/715.86 = 169.11/x
  3. Step 3: Cross multiply
    477.34x = 715.86 × 169.11
  4. Step 4: Simplify right side
    477.34x = 121,061.57
  5. Step 5: Solve for x
    x = 121,061.57/477.34
  6. Step 6: Final answer
    x = 253.62

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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.