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Finding the Fourth Proportional to 690.98, 953.52 and 411.40

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Solution

The fourth proportional to 690.98, 953.52 and 411.40 is: 567.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.98 : 953.52 = 411.40 : x
  2. Step 2: Convert to fraction form
    690.98/953.52 = 411.40/x
  3. Step 3: Cross multiply
    690.98x = 953.52 × 411.40
  4. Step 4: Simplify right side
    690.98x = 392,278.13
  5. Step 5: Solve for x
    x = 392,278.13/690.98
  6. Step 6: Final answer
    x = 567.71

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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.