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Finding the Fourth Proportional to 598.06, 825.32 and 332.55

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Solution

The fourth proportional to 598.06, 825.32 and 332.55 is: 458.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.06 : 825.32 = 332.55 : x
  2. Step 2: Convert to fraction form
    598.06/825.32 = 332.55/x
  3. Step 3: Cross multiply
    598.06x = 825.32 × 332.55
  4. Step 4: Simplify right side
    598.06x = 274,454.38
  5. Step 5: Solve for x
    x = 274,454.38/598.06
  6. Step 6: Final answer
    x = 458.91

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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.