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Finding the Fourth Proportional to 597.85, 902.39 and 597.85

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Solution

The fourth proportional to 597.85, 902.39 and 597.85 is: 902.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.85 : 902.39 = 597.85 : x
  2. Step 2: Convert to fraction form
    597.85/902.39 = 597.85/x
  3. Step 3: Cross multiply
    597.85x = 902.39 × 597.85
  4. Step 4: Simplify right side
    597.85x = 539,493.86
  5. Step 5: Solve for x
    x = 539,493.86/597.85
  6. Step 6: Final answer
    x = 902.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.