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Finding the Fourth Proportional to 514.53, 709.56 and 346.86

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Solution

The fourth proportional to 514.53, 709.56 and 346.86 is: 478.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.53 : 709.56 = 346.86 : x
  2. Step 2: Convert to fraction form
    514.53/709.56 = 346.86/x
  3. Step 3: Cross multiply
    514.53x = 709.56 × 346.86
  4. Step 4: Simplify right side
    514.53x = 246,117.98
  5. Step 5: Solve for x
    x = 246,117.98/514.53
  6. Step 6: Final answer
    x = 478.34

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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.