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Finding the Fourth Proportional to 477.12, 715.84 and 169

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Solution

The fourth proportional to 477.12, 715.84 and 169 is: 253.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.12 : 715.84 = 169 : x
  2. Step 2: Convert to fraction form
    477.12/715.84 = 169/x
  3. Step 3: Cross multiply
    477.12x = 715.84 × 169
  4. Step 4: Simplify right side
    477.12x = 120,976.96
  5. Step 5: Solve for x
    x = 120,976.96/477.12
  6. Step 6: Final answer
    x = 253.56

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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.