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Finding the Fourth Proportional to 596.92, 824.08 and 415.34

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Solution

The fourth proportional to 596.92, 824.08 and 415.34 is: 573.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.92 : 824.08 = 415.34 : x
  2. Step 2: Convert to fraction form
    596.92/824.08 = 415.34/x
  3. Step 3: Cross multiply
    596.92x = 824.08 × 415.34
  4. Step 4: Simplify right side
    596.92x = 342,273.39
  5. Step 5: Solve for x
    x = 342,273.39/596.92
  6. Step 6: Final answer
    x = 573.40

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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.