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Finding the Fourth Proportional to 598.60, 824.88 and 458.87

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Solution

The fourth proportional to 598.60, 824.88 and 458.87 is: 632.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.60 : 824.88 = 458.87 : x
  2. Step 2: Convert to fraction form
    598.60/824.88 = 458.87/x
  3. Step 3: Cross multiply
    598.60x = 824.88 × 458.87
  4. Step 4: Simplify right side
    598.60x = 378,512.69
  5. Step 5: Solve for x
    x = 378,512.69/598.60
  6. Step 6: Final answer
    x = 632.33

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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.