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Finding the Fourth Proportional to 687.60, 947.70 and 466.44

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Solution

The fourth proportional to 687.60, 947.70 and 466.44 is: 642.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.60 : 947.70 = 466.44 : x
  2. Step 2: Convert to fraction form
    687.60/947.70 = 466.44/x
  3. Step 3: Cross multiply
    687.60x = 947.70 × 466.44
  4. Step 4: Simplify right side
    687.60x = 442,045.19
  5. Step 5: Solve for x
    x = 442,045.19/687.60
  6. Step 6: Final answer
    x = 642.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.