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Finding the Fourth Proportional to 596.92, 824.06 and 372.92

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Solution

The fourth proportional to 596.92, 824.06 and 372.92 is: 514.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.92 : 824.06 = 372.92 : x
  2. Step 2: Convert to fraction form
    596.92/824.06 = 372.92/x
  3. Step 3: Cross multiply
    596.92x = 824.06 × 372.92
  4. Step 4: Simplify right side
    596.92x = 307,308.46
  5. Step 5: Solve for x
    x = 307,308.46/596.92
  6. Step 6: Final answer
    x = 514.82

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1.5x scale

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.