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Finding the Fourth Proportional to 597.12, 892.98 and 488.04

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Solution

The fourth proportional to 597.12, 892.98 and 488.04 is: 729.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.12 : 892.98 = 488.04 : x
  2. Step 2: Convert to fraction form
    597.12/892.98 = 488.04/x
  3. Step 3: Cross multiply
    597.12x = 892.98 × 488.04
  4. Step 4: Simplify right side
    597.12x = 435,809.96
  5. Step 5: Solve for x
    x = 435,809.96/597.12
  6. Step 6: Final answer
    x = 729.85

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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.