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Finding the Fourth Proportional to 347.59, 479.60 and 216.50

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Solution

The fourth proportional to 347.59, 479.60 and 216.50 is: 298.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.59 : 479.60 = 216.50 : x
  2. Step 2: Convert to fraction form
    347.59/479.60 = 216.50/x
  3. Step 3: Cross multiply
    347.59x = 479.60 × 216.50
  4. Step 4: Simplify right side
    347.59x = 103,833.40
  5. Step 5: Solve for x
    x = 103,833.40/347.59
  6. Step 6: Final answer
    x = 298.73

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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.