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Finding the Fourth Proportional to 592.68, 888.28 and 409.64

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Solution

The fourth proportional to 592.68, 888.28 and 409.64 is: 613.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.68 : 888.28 = 409.64 : x
  2. Step 2: Convert to fraction form
    592.68/888.28 = 409.64/x
  3. Step 3: Cross multiply
    592.68x = 888.28 × 409.64
  4. Step 4: Simplify right side
    592.68x = 363,875.02
  5. Step 5: Solve for x
    x = 363,875.02/592.68
  6. Step 6: Final answer
    x = 613.95

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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.