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Finding the Fourth Proportional to 475.50, 708.71 and 466.38

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Solution

The fourth proportional to 475.50, 708.71 and 466.38 is: 695.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.50 : 708.71 = 466.38 : x
  2. Step 2: Convert to fraction form
    475.50/708.71 = 466.38/x
  3. Step 3: Cross multiply
    475.50x = 708.71 × 466.38
  4. Step 4: Simplify right side
    475.50x = 330,528.17
  5. Step 5: Solve for x
    x = 330,528.17/475.50
  6. Step 6: Final answer
    x = 695.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.