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Finding the Fourth Proportional to 514.19, 770.18 and 410.91

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Solution

The fourth proportional to 514.19, 770.18 and 410.91 is: 615.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.19 : 770.18 = 410.91 : x
  2. Step 2: Convert to fraction form
    514.19/770.18 = 410.91/x
  3. Step 3: Cross multiply
    514.19x = 770.18 × 410.91
  4. Step 4: Simplify right side
    514.19x = 316,472.61
  5. Step 5: Solve for x
    x = 316,472.61/514.19
  6. Step 6: Final answer
    x = 615.48

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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.