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Finding the Fourth Proportional to 303.39, 452.67 and 296.71

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Solution

The fourth proportional to 303.39, 452.67 and 296.71 is: 442.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.39 : 452.67 = 296.71 : x
  2. Step 2: Convert to fraction form
    303.39/452.67 = 296.71/x
  3. Step 3: Cross multiply
    303.39x = 452.67 × 296.71
  4. Step 4: Simplify right side
    303.39x = 134,309.47
  5. Step 5: Solve for x
    x = 134,309.47/303.39
  6. Step 6: Final answer
    x = 442.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.