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Finding the Fourth Proportional to 691.36, 953.80 and 411.48

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Solution

The fourth proportional to 691.36, 953.80 and 411.48 is: 567.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.36 : 953.80 = 411.48 : x
  2. Step 2: Convert to fraction form
    691.36/953.80 = 411.48/x
  3. Step 3: Cross multiply
    691.36x = 953.80 × 411.48
  4. Step 4: Simplify right side
    691.36x = 392,469.62
  5. Step 5: Solve for x
    x = 392,469.62/691.36
  6. Step 6: Final answer
    x = 567.68

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1.5x scale

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.