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Finding the Fourth Proportional to 524.60, 723.80 and 300.53

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Solution

The fourth proportional to 524.60, 723.80 and 300.53 is: 414.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.60 : 723.80 = 300.53 : x
  2. Step 2: Convert to fraction form
    524.60/723.80 = 300.53/x
  3. Step 3: Cross multiply
    524.60x = 723.80 × 300.53
  4. Step 4: Simplify right side
    524.60x = 217,523.61
  5. Step 5: Solve for x
    x = 217,523.61/524.60
  6. Step 6: Final answer
    x = 414.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.