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Finding the Fourth Proportional to 691.80, 954.48 and 411.81

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Solution

The fourth proportional to 691.80, 954.48 and 411.81 is: 568.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.80 : 954.48 = 411.81 : x
  2. Step 2: Convert to fraction form
    691.80/954.48 = 411.81/x
  3. Step 3: Cross multiply
    691.80x = 954.48 × 411.81
  4. Step 4: Simplify right side
    691.80x = 393,064.41
  5. Step 5: Solve for x
    x = 393,064.41/691.80
  6. Step 6: Final answer
    x = 568.18

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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.