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Finding the Fourth Proportional to 645.42, 966.62 and 471.66

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Solution

The fourth proportional to 645.42, 966.62 and 471.66 is: 706.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.42 : 966.62 = 471.66 : x
  2. Step 2: Convert to fraction form
    645.42/966.62 = 471.66/x
  3. Step 3: Cross multiply
    645.42x = 966.62 × 471.66
  4. Step 4: Simplify right side
    645.42x = 455,915.99
  5. Step 5: Solve for x
    x = 455,915.99/645.42
  6. Step 6: Final answer
    x = 706.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.