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Finding the Fourth Proportional to 592.16, 887.81 and 409.04

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Solution

The fourth proportional to 592.16, 887.81 and 409.04 is: 613.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.16 : 887.81 = 409.04 : x
  2. Step 2: Convert to fraction form
    592.16/887.81 = 409.04/x
  3. Step 3: Cross multiply
    592.16x = 887.81 × 409.04
  4. Step 4: Simplify right side
    592.16x = 363,143.32
  5. Step 5: Solve for x
    x = 363,143.32/592.16
  6. Step 6: Final answer
    x = 613.25

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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.