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Finding the Fourth Proportional to 597.84, 825.09 and 457.71

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Solution

The fourth proportional to 597.84, 825.09 and 457.71 is: 631.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.84 : 825.09 = 457.71 : x
  2. Step 2: Convert to fraction form
    597.84/825.09 = 457.71/x
  3. Step 3: Cross multiply
    597.84x = 825.09 × 457.71
  4. Step 4: Simplify right side
    597.84x = 377,651.94
  5. Step 5: Solve for x
    x = 377,651.94/597.84
  6. Step 6: Final answer
    x = 631.69

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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.