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Finding the Fourth Proportional to 597.82, 824.13 and 457.63

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Solution

The fourth proportional to 597.82, 824.13 and 457.63 is: 630.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.82 : 824.13 = 457.63 : x
  2. Step 2: Convert to fraction form
    597.82/824.13 = 457.63/x
  3. Step 3: Cross multiply
    597.82x = 824.13 × 457.63
  4. Step 4: Simplify right side
    597.82x = 377,146.61
  5. Step 5: Solve for x
    x = 377,146.61/597.82
  6. Step 6: Final answer
    x = 630.87

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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.