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Finding the Fourth Proportional to 598.32, 902.82 and 575.82

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Solution

The fourth proportional to 598.32, 902.82 and 575.82 is: 868.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.32 : 902.82 = 575.82 : x
  2. Step 2: Convert to fraction form
    598.32/902.82 = 575.82/x
  3. Step 3: Cross multiply
    598.32x = 902.82 × 575.82
  4. Step 4: Simplify right side
    598.32x = 519,861.81
  5. Step 5: Solve for x
    x = 519,861.81/598.32
  6. Step 6: Final answer
    x = 868.87

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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.