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Finding the Fourth Proportional to 347.01, 478.93 and 207.14

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Solution

The fourth proportional to 347.01, 478.93 and 207.14 is: 285.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.01 : 478.93 = 207.14 : x
  2. Step 2: Convert to fraction form
    347.01/478.93 = 207.14/x
  3. Step 3: Cross multiply
    347.01x = 478.93 × 207.14
  4. Step 4: Simplify right side
    347.01x = 99,203.04
  5. Step 5: Solve for x
    x = 99,203.04/347.01
  6. Step 6: Final answer
    x = 285.88

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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.