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Finding the Fourth Proportional to 557.67, 836.10 and 268.77

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Solution

The fourth proportional to 557.67, 836.10 and 268.77 is: 402.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.67 : 836.10 = 268.77 : x
  2. Step 2: Convert to fraction form
    557.67/836.10 = 268.77/x
  3. Step 3: Cross multiply
    557.67x = 836.10 × 268.77
  4. Step 4: Simplify right side
    557.67x = 224,718.60
  5. Step 5: Solve for x
    x = 224,718.60/557.67
  6. Step 6: Final answer
    x = 402.96

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