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Finding the Fourth Proportional to 524.60, 723.82 and 303.46

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Solution

The fourth proportional to 524.60, 723.82 and 303.46 is: 418.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.60 : 723.82 = 303.46 : x
  2. Step 2: Convert to fraction form
    524.60/723.82 = 303.46/x
  3. Step 3: Cross multiply
    524.60x = 723.82 × 303.46
  4. Step 4: Simplify right side
    524.60x = 219,650.42
  5. Step 5: Solve for x
    x = 219,650.42/524.60
  6. Step 6: Final answer
    x = 418.70

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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.