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Finding the Fourth Proportional to 471.53, 708.82 and 456.95

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Solution

The fourth proportional to 471.53, 708.82 and 456.95 is: 686.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.53 : 708.82 = 456.95 : x
  2. Step 2: Convert to fraction form
    471.53/708.82 = 456.95/x
  3. Step 3: Cross multiply
    471.53x = 708.82 × 456.95
  4. Step 4: Simplify right side
    471.53x = 323,895.93
  5. Step 5: Solve for x
    x = 323,895.93/471.53
  6. Step 6: Final answer
    x = 686.90

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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.