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Finding the Fourth Proportional to 597.28, 823.95 and 387.63

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Solution

The fourth proportional to 597.28, 823.95 and 387.63 is: 534.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.28 : 823.95 = 387.63 : x
  2. Step 2: Convert to fraction form
    597.28/823.95 = 387.63/x
  3. Step 3: Cross multiply
    597.28x = 823.95 × 387.63
  4. Step 4: Simplify right side
    597.28x = 319,387.74
  5. Step 5: Solve for x
    x = 319,387.74/597.28
  6. Step 6: Final answer
    x = 534.74

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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.