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Finding the Fourth Proportional to 514.02, 770.85 and 411.06

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Solution

The fourth proportional to 514.02, 770.85 and 411.06 is: 616.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.02 : 770.85 = 411.06 : x
  2. Step 2: Convert to fraction form
    514.02/770.85 = 411.06/x
  3. Step 3: Cross multiply
    514.02x = 770.85 × 411.06
  4. Step 4: Simplify right side
    514.02x = 316,865.60
  5. Step 5: Solve for x
    x = 316,865.60/514.02
  6. Step 6: Final answer
    x = 616.45

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Why These Related Problems?

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