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Finding the Fourth Proportional to 309.33, 462.47 and 240.93

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Solution

The fourth proportional to 309.33, 462.47 and 240.93 is: 360.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.33 : 462.47 = 240.93 : x
  2. Step 2: Convert to fraction form
    309.33/462.47 = 240.93/x
  3. Step 3: Cross multiply
    309.33x = 462.47 × 240.93
  4. Step 4: Simplify right side
    309.33x = 111,421.69
  5. Step 5: Solve for x
    x = 111,421.69/309.33
  6. Step 6: Final answer
    x = 360.20

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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.