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Finding the Fourth Proportional to 347.40, 479.61 and 229.50

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Solution

The fourth proportional to 347.40, 479.61 and 229.50 is: 316.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.40 : 479.61 = 229.50 : x
  2. Step 2: Convert to fraction form
    347.40/479.61 = 229.50/x
  3. Step 3: Cross multiply
    347.40x = 479.61 × 229.50
  4. Step 4: Simplify right side
    347.40x = 110,070.50
  5. Step 5: Solve for x
    x = 110,070.50/347.40
  6. Step 6: Final answer
    x = 316.84

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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.