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Finding the Fourth Proportional to 557.72, 836.06 and 283.49

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Solution

The fourth proportional to 557.72, 836.06 and 283.49 is: 424.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.72 : 836.06 = 283.49 : x
  2. Step 2: Convert to fraction form
    557.72/836.06 = 283.49/x
  3. Step 3: Cross multiply
    557.72x = 836.06 × 283.49
  4. Step 4: Simplify right side
    557.72x = 237,013.23
  5. Step 5: Solve for x
    x = 237,013.23/557.72
  6. Step 6: Final answer
    x = 424.97

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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.