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Finding the Fourth Proportional to 477.32, 715.46 and 169.06

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Solution

The fourth proportional to 477.32, 715.46 and 169.06 is: 253.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.32 : 715.46 = 169.06 : x
  2. Step 2: Convert to fraction form
    477.32/715.46 = 169.06/x
  3. Step 3: Cross multiply
    477.32x = 715.46 × 169.06
  4. Step 4: Simplify right side
    477.32x = 120,955.67
  5. Step 5: Solve for x
    x = 120,955.67/477.32
  6. Step 6: Final answer
    x = 253.41

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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.