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Finding the Fourth Proportional to 597.02, 824.24 and 387.50

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Solution

The fourth proportional to 597.02, 824.24 and 387.50 is: 534.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.02 : 824.24 = 387.50 : x
  2. Step 2: Convert to fraction form
    597.02/824.24 = 387.50/x
  3. Step 3: Cross multiply
    597.02x = 824.24 × 387.50
  4. Step 4: Simplify right side
    597.02x = 319,393
  5. Step 5: Solve for x
    x = 319,393/597.02
  6. Step 6: Final answer
    x = 534.98

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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.