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Finding the Fourth Proportional to 557.12, 836.22 and 268.76

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Solution

The fourth proportional to 557.12, 836.22 and 268.76 is: 403.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.12 : 836.22 = 268.76 : x
  2. Step 2: Convert to fraction form
    557.12/836.22 = 268.76/x
  3. Step 3: Cross multiply
    557.12x = 836.22 × 268.76
  4. Step 4: Simplify right side
    557.12x = 224,742.49
  5. Step 5: Solve for x
    x = 224,742.49/557.12
  6. Step 6: Final answer
    x = 403.40

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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.