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Finding the Fourth Proportional to 557.49, 836.10 and 232.86

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Solution

The fourth proportional to 557.49, 836.10 and 232.86 is: 349.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.49 : 836.10 = 232.86 : x
  2. Step 2: Convert to fraction form
    557.49/836.10 = 232.86/x
  3. Step 3: Cross multiply
    557.49x = 836.10 × 232.86
  4. Step 4: Simplify right side
    557.49x = 194,694.25
  5. Step 5: Solve for x
    x = 194,694.25/557.49
  6. Step 6: Final answer
    x = 349.23

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.