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Finding the Fourth Proportional to 592.20, 886.16 and 361.14

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Solution

The fourth proportional to 592.20, 886.16 and 361.14 is: 540.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.20 : 886.16 = 361.14 : x
  2. Step 2: Convert to fraction form
    592.20/886.16 = 361.14/x
  3. Step 3: Cross multiply
    592.20x = 886.16 × 361.14
  4. Step 4: Simplify right side
    592.20x = 320,026.02
  5. Step 5: Solve for x
    x = 320,026.02/592.20
  6. Step 6: Final answer
    x = 540.40

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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.