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Finding the Fourth Proportional to 598.17, 892.69 and 590.42

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Solution

The fourth proportional to 598.17, 892.69 and 590.42 is: 881.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.17 : 892.69 = 590.42 : x
  2. Step 2: Convert to fraction form
    598.17/892.69 = 590.42/x
  3. Step 3: Cross multiply
    598.17x = 892.69 × 590.42
  4. Step 4: Simplify right side
    598.17x = 527,062.79
  5. Step 5: Solve for x
    x = 527,062.79/598.17
  6. Step 6: Final answer
    x = 881.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.