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Finding the Fourth Proportional to 597.31, 890.62 and 588.20

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Solution

The fourth proportional to 597.31, 890.62 and 588.20 is: 877.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.31 : 890.62 = 588.20 : x
  2. Step 2: Convert to fraction form
    597.31/890.62 = 588.20/x
  3. Step 3: Cross multiply
    597.31x = 890.62 × 588.20
  4. Step 4: Simplify right side
    597.31x = 523,856.76
  5. Step 5: Solve for x
    x = 523,856.76/597.31
  6. Step 6: Final answer
    x = 877.03

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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.