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Finding the Fourth Proportional to 402.30, 555.69 and 277.74

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Solution

The fourth proportional to 402.30, 555.69 and 277.74 is: 383.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.30 : 555.69 = 277.74 : x
  2. Step 2: Convert to fraction form
    402.30/555.69 = 277.74/x
  3. Step 3: Cross multiply
    402.30x = 555.69 × 277.74
  4. Step 4: Simplify right side
    402.30x = 154,333.17
  5. Step 5: Solve for x
    x = 154,333.17/402.30
  6. Step 6: Final answer
    x = 383.63

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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.