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Finding the Fourth Proportional to 691.21, 953.88 and 411.58

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Solution

The fourth proportional to 691.21, 953.88 and 411.58 is: 567.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.21 : 953.88 = 411.58 : x
  2. Step 2: Convert to fraction form
    691.21/953.88 = 411.58/x
  3. Step 3: Cross multiply
    691.21x = 953.88 × 411.58
  4. Step 4: Simplify right side
    691.21x = 392,600.25
  5. Step 5: Solve for x
    x = 392,600.25/691.21
  6. Step 6: Final answer
    x = 567.99

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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.