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Finding the Fourth Proportional to 462.68, 639.06 and 365.72

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Solution

The fourth proportional to 462.68, 639.06 and 365.72 is: 505.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.68 : 639.06 = 365.72 : x
  2. Step 2: Convert to fraction form
    462.68/639.06 = 365.72/x
  3. Step 3: Cross multiply
    462.68x = 639.06 × 365.72
  4. Step 4: Simplify right side
    462.68x = 233,717.02
  5. Step 5: Solve for x
    x = 233,717.02/462.68
  6. Step 6: Final answer
    x = 505.14

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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.