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Finding the Fourth Proportional to 471.60, 706.37 and 461.61

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Solution

The fourth proportional to 471.60, 706.37 and 461.61 is: 691.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.60 : 706.37 = 461.61 : x
  2. Step 2: Convert to fraction form
    471.60/706.37 = 461.61/x
  3. Step 3: Cross multiply
    471.60x = 706.37 × 461.61
  4. Step 4: Simplify right side
    471.60x = 326,065.15
  5. Step 5: Solve for x
    x = 326,065.15/471.60
  6. Step 6: Final answer
    x = 691.40

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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.