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Finding the Fourth Proportional to 402.17, 554.75 and 277.83

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Solution

The fourth proportional to 402.17, 554.75 and 277.83 is: 383.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.17 : 554.75 = 277.83 : x
  2. Step 2: Convert to fraction form
    402.17/554.75 = 277.83/x
  3. Step 3: Cross multiply
    402.17x = 554.75 × 277.83
  4. Step 4: Simplify right side
    402.17x = 154,125.85
  5. Step 5: Solve for x
    x = 154,125.85/402.17
  6. Step 6: Final answer
    x = 383.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.