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Finding the Fourth Proportional to 597.25, 824.05 and 457.52

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Solution

The fourth proportional to 597.25, 824.05 and 457.52 is: 631.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.25 : 824.05 = 457.52 : x
  2. Step 2: Convert to fraction form
    597.25/824.05 = 457.52/x
  3. Step 3: Cross multiply
    597.25x = 824.05 × 457.52
  4. Step 4: Simplify right side
    597.25x = 377,019.36
  5. Step 5: Solve for x
    x = 377,019.36/597.25
  6. Step 6: Final answer
    x = 631.26

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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.