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Finding the Fourth Proportional to 524.73, 786.06 and 402.39

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Solution

The fourth proportional to 524.73, 786.06 and 402.39 is: 602.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.73 : 786.06 = 402.39 : x
  2. Step 2: Convert to fraction form
    524.73/786.06 = 402.39/x
  3. Step 3: Cross multiply
    524.73x = 786.06 × 402.39
  4. Step 4: Simplify right side
    524.73x = 316,302.68
  5. Step 5: Solve for x
    x = 316,302.68/524.73
  6. Step 6: Final answer
    x = 602.79

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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.