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Finding the Fourth Proportional to 598.46, 825.48 and 432.40

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Solution

The fourth proportional to 598.46, 825.48 and 432.40 is: 596.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.46 : 825.48 = 432.40 : x
  2. Step 2: Convert to fraction form
    598.46/825.48 = 432.40/x
  3. Step 3: Cross multiply
    598.46x = 825.48 × 432.40
  4. Step 4: Simplify right side
    598.46x = 356,937.55
  5. Step 5: Solve for x
    x = 356,937.55/598.46
  6. Step 6: Final answer
    x = 596.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.