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Finding the Fourth Proportional to 557.93, 836.94 and 284.57

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Solution

The fourth proportional to 557.93, 836.94 and 284.57 is: 426.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.93 : 836.94 = 284.57 : x
  2. Step 2: Convert to fraction form
    557.93/836.94 = 284.57/x
  3. Step 3: Cross multiply
    557.93x = 836.94 × 284.57
  4. Step 4: Simplify right side
    557.93x = 238,166.59
  5. Step 5: Solve for x
    x = 238,166.59/557.93
  6. Step 6: Final answer
    x = 426.88

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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.