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Finding the Fourth Proportional to 598.54, 824.43 and 458.83

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Solution

The fourth proportional to 598.54, 824.43 and 458.83 is: 631.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.54 : 824.43 = 458.83 : x
  2. Step 2: Convert to fraction form
    598.54/824.43 = 458.83/x
  3. Step 3: Cross multiply
    598.54x = 824.43 × 458.83
  4. Step 4: Simplify right side
    598.54x = 378,273.22
  5. Step 5: Solve for x
    x = 378,273.22/598.54
  6. Step 6: Final answer
    x = 631.99

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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.