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Finding the Fourth Proportional to 402.78, 555.28 and 314

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Solution

The fourth proportional to 402.78, 555.28 and 314 is: 432.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.78 : 555.28 = 314 : x
  2. Step 2: Convert to fraction form
    402.78/555.28 = 314/x
  3. Step 3: Cross multiply
    402.78x = 555.28 × 314
  4. Step 4: Simplify right side
    402.78x = 174,357.92
  5. Step 5: Solve for x
    x = 174,357.92/402.78
  6. Step 6: Final answer
    x = 432.89

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