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Finding the Fourth Proportional to 278.34, 417.75 and 256.74

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Solution

The fourth proportional to 278.34, 417.75 and 256.74 is: 385.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.34 : 417.75 = 256.74 : x
  2. Step 2: Convert to fraction form
    278.34/417.75 = 256.74/x
  3. Step 3: Cross multiply
    278.34x = 417.75 × 256.74
  4. Step 4: Simplify right side
    278.34x = 107,253.14
  5. Step 5: Solve for x
    x = 107,253.14/278.34
  6. Step 6: Final answer
    x = 385.33

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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.