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Finding the Fourth Proportional to 347.29, 520.20 and 278.44

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Solution

The fourth proportional to 347.29, 520.20 and 278.44 is: 417.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.29 : 520.20 = 278.44 : x
  2. Step 2: Convert to fraction form
    347.29/520.20 = 278.44/x
  3. Step 3: Cross multiply
    347.29x = 520.20 × 278.44
  4. Step 4: Simplify right side
    347.29x = 144,844.49
  5. Step 5: Solve for x
    x = 144,844.49/347.29
  6. Step 6: Final answer
    x = 417.07

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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.