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Finding the Fourth Proportional to 596.78, 824.35 and 497.52

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Solution

The fourth proportional to 596.78, 824.35 and 497.52 is: 687.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.78 : 824.35 = 497.52 : x
  2. Step 2: Convert to fraction form
    596.78/824.35 = 497.52/x
  3. Step 3: Cross multiply
    596.78x = 824.35 × 497.52
  4. Step 4: Simplify right side
    596.78x = 410,130.30
  5. Step 5: Solve for x
    x = 410,130.30/596.78
  6. Step 6: Final answer
    x = 687.24

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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.