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Finding the Fourth Proportional to 598.03, 824.06 and 458.15

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Solution

The fourth proportional to 598.03, 824.06 and 458.15 is: 631.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.03 : 824.06 = 458.15 : x
  2. Step 2: Convert to fraction form
    598.03/824.06 = 458.15/x
  3. Step 3: Cross multiply
    598.03x = 824.06 × 458.15
  4. Step 4: Simplify right side
    598.03x = 377,540.11
  5. Step 5: Solve for x
    x = 377,540.11/598.03
  6. Step 6: Final answer
    x = 631.31

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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.