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Finding the Fourth Proportional to 514.14, 772.92 and 407.22

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Solution

The fourth proportional to 514.14, 772.92 and 407.22 is: 612.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.14 : 772.92 = 407.22 : x
  2. Step 2: Convert to fraction form
    514.14/772.92 = 407.22/x
  3. Step 3: Cross multiply
    514.14x = 772.92 × 407.22
  4. Step 4: Simplify right side
    514.14x = 314,748.48
  5. Step 5: Solve for x
    x = 314,748.48/514.14
  6. Step 6: Final answer
    x = 612.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.