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Finding the Fourth Proportional to 347.85, 521.06 and 284.49

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Solution

The fourth proportional to 347.85, 521.06 and 284.49 is: 426.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.85 : 521.06 = 284.49 : x
  2. Step 2: Convert to fraction form
    347.85/521.06 = 284.49/x
  3. Step 3: Cross multiply
    347.85x = 521.06 × 284.49
  4. Step 4: Simplify right side
    347.85x = 148,234.94
  5. Step 5: Solve for x
    x = 148,234.94/347.85
  6. Step 6: Final answer
    x = 426.15

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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.