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Finding the Fourth Proportional to 332.26, 457.86 and 309.70

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Solution

The fourth proportional to 332.26, 457.86 and 309.70 is: 426.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.26 : 457.86 = 309.70 : x
  2. Step 2: Convert to fraction form
    332.26/457.86 = 309.70/x
  3. Step 3: Cross multiply
    332.26x = 457.86 × 309.70
  4. Step 4: Simplify right side
    332.26x = 141,799.24
  5. Step 5: Solve for x
    x = 141,799.24/332.26
  6. Step 6: Final answer
    x = 426.77

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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.