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Finding the Fourth Proportional to 690.88, 953.15 and 411.12

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Solution

The fourth proportional to 690.88, 953.15 and 411.12 is: 567.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.88 : 953.15 = 411.12 : x
  2. Step 2: Convert to fraction form
    690.88/953.15 = 411.12/x
  3. Step 3: Cross multiply
    690.88x = 953.15 × 411.12
  4. Step 4: Simplify right side
    690.88x = 391,859.03
  5. Step 5: Solve for x
    x = 391,859.03/690.88
  6. Step 6: Final answer
    x = 567.19

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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.