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Finding the Fourth Proportional to 347.72, 478.87 and 340.16

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Solution

The fourth proportional to 347.72, 478.87 and 340.16 is: 468.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.72 : 478.87 = 340.16 : x
  2. Step 2: Convert to fraction form
    347.72/478.87 = 340.16/x
  3. Step 3: Cross multiply
    347.72x = 478.87 × 340.16
  4. Step 4: Simplify right side
    347.72x = 162,890.02
  5. Step 5: Solve for x
    x = 162,890.02/347.72
  6. Step 6: Final answer
    x = 468.46

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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.