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Finding the Fourth Proportional to 557.86, 835.57 and 268.69

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Solution

The fourth proportional to 557.86, 835.57 and 268.69 is: 402.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.86 : 835.57 = 268.69 : x
  2. Step 2: Convert to fraction form
    557.86/835.57 = 268.69/x
  3. Step 3: Cross multiply
    557.86x = 835.57 × 268.69
  4. Step 4: Simplify right side
    557.86x = 224,507.55
  5. Step 5: Solve for x
    x = 224,507.55/557.86
  6. Step 6: Final answer
    x = 402.45

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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.