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Finding the Fourth Proportional to 557.97, 836.43 and 283.74

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Solution

The fourth proportional to 557.97, 836.43 and 283.74 is: 425.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.97 : 836.43 = 283.74 : x
  2. Step 2: Convert to fraction form
    557.97/836.43 = 283.74/x
  3. Step 3: Cross multiply
    557.97x = 836.43 × 283.74
  4. Step 4: Simplify right side
    557.97x = 237,328.65
  5. Step 5: Solve for x
    x = 237,328.65/557.97
  6. Step 6: Final answer
    x = 425.34

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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.