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Finding the Fourth Proportional to 347.34, 479.46 and 314.52

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Solution

The fourth proportional to 347.34, 479.46 and 314.52 is: 434.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.34 : 479.46 = 314.52 : x
  2. Step 2: Convert to fraction form
    347.34/479.46 = 314.52/x
  3. Step 3: Cross multiply
    347.34x = 479.46 × 314.52
  4. Step 4: Simplify right side
    347.34x = 150,799.76
  5. Step 5: Solve for x
    x = 150,799.76/347.34
  6. Step 6: Final answer
    x = 434.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.