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Finding the Fourth Proportional to 417.89, 576.88 and 278.24

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Solution

The fourth proportional to 417.89, 576.88 and 278.24 is: 384.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.89 : 576.88 = 278.24 : x
  2. Step 2: Convert to fraction form
    417.89/576.88 = 278.24/x
  3. Step 3: Cross multiply
    417.89x = 576.88 × 278.24
  4. Step 4: Simplify right side
    417.89x = 160,507.51
  5. Step 5: Solve for x
    x = 160,507.51/417.89
  6. Step 6: Final answer
    x = 384.09

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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.