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Finding the Fourth Proportional to 417.70, 576.68 and 278.02

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Solution

The fourth proportional to 417.70, 576.68 and 278.02 is: 383.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.70 : 576.68 = 278.02 : x
  2. Step 2: Convert to fraction form
    417.70/576.68 = 278.02/x
  3. Step 3: Cross multiply
    417.70x = 576.68 × 278.02
  4. Step 4: Simplify right side
    417.70x = 160,328.57
  5. Step 5: Solve for x
    x = 160,328.57/417.70
  6. Step 6: Final answer
    x = 383.84

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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.