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Finding the Fourth Proportional to 471.53, 707.29 and 146.86

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Solution

The fourth proportional to 471.53, 707.29 and 146.86 is: 220.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.53 : 707.29 = 146.86 : x
  2. Step 2: Convert to fraction form
    471.53/707.29 = 146.86/x
  3. Step 3: Cross multiply
    471.53x = 707.29 × 146.86
  4. Step 4: Simplify right side
    471.53x = 103,872.61
  5. Step 5: Solve for x
    x = 103,872.61/471.53
  6. Step 6: Final answer
    x = 220.29

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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.