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Finding the Fourth Proportional to 691.74, 954.10 and 470.31

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Solution

The fourth proportional to 691.74, 954.10 and 470.31 is: 648.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.74 : 954.10 = 470.31 : x
  2. Step 2: Convert to fraction form
    691.74/954.10 = 470.31/x
  3. Step 3: Cross multiply
    691.74x = 954.10 × 470.31
  4. Step 4: Simplify right side
    691.74x = 448,722.77
  5. Step 5: Solve for x
    x = 448,722.77/691.74
  6. Step 6: Final answer
    x = 648.69

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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.