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Finding the Fourth Proportional to 524.20, 723.46 and 514.60

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Solution

The fourth proportional to 524.20, 723.46 and 514.60 is: 710.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.20 : 723.46 = 514.60 : x
  2. Step 2: Convert to fraction form
    524.20/723.46 = 514.60/x
  3. Step 3: Cross multiply
    524.20x = 723.46 × 514.60
  4. Step 4: Simplify right side
    524.20x = 372,292.52
  5. Step 5: Solve for x
    x = 372,292.52/524.20
  6. Step 6: Final answer
    x = 710.21

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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.