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Finding the Fourth Proportional to 592.76, 890.02 and 268.76

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Solution

The fourth proportional to 592.76, 890.02 and 268.76 is: 403.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.76 : 890.02 = 268.76 : x
  2. Step 2: Convert to fraction form
    592.76/890.02 = 268.76/x
  3. Step 3: Cross multiply
    592.76x = 890.02 × 268.76
  4. Step 4: Simplify right side
    592.76x = 239,201.78
  5. Step 5: Solve for x
    x = 239,201.78/592.76
  6. Step 6: Final answer
    x = 403.54

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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.