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Finding the Fourth Proportional to 514.01, 709.14 and 347.96

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Solution

The fourth proportional to 514.01, 709.14 and 347.96 is: 480.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.01 : 709.14 = 347.96 : x
  2. Step 2: Convert to fraction form
    514.01/709.14 = 347.96/x
  3. Step 3: Cross multiply
    514.01x = 709.14 × 347.96
  4. Step 4: Simplify right side
    514.01x = 246,748.81
  5. Step 5: Solve for x
    x = 246,748.81/514.01
  6. Step 6: Final answer
    x = 480.05

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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.