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Finding the Fourth Proportional to 462.42, 693.26 and 315.81

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Solution

The fourth proportional to 462.42, 693.26 and 315.81 is: 473.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.42 : 693.26 = 315.81 : x
  2. Step 2: Convert to fraction form
    462.42/693.26 = 315.81/x
  3. Step 3: Cross multiply
    462.42x = 693.26 × 315.81
  4. Step 4: Simplify right side
    462.42x = 218,938.44
  5. Step 5: Solve for x
    x = 218,938.44/462.42
  6. Step 6: Final answer
    x = 473.46

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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.