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Finding the Fourth Proportional to 592.29, 888.08 and 409.77

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Solution

The fourth proportional to 592.29, 888.08 and 409.77 is: 614.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.29 : 888.08 = 409.77 : x
  2. Step 2: Convert to fraction form
    592.29/888.08 = 409.77/x
  3. Step 3: Cross multiply
    592.29x = 888.08 × 409.77
  4. Step 4: Simplify right side
    592.29x = 363,906.49
  5. Step 5: Solve for x
    x = 363,906.49/592.29
  6. Step 6: Final answer
    x = 614.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.