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Finding the Fourth Proportional to 303.13, 452.14 and 294.02

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Solution

The fourth proportional to 303.13, 452.14 and 294.02 is: 438.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.13 : 452.14 = 294.02 : x
  2. Step 2: Convert to fraction form
    303.13/452.14 = 294.02/x
  3. Step 3: Cross multiply
    303.13x = 452.14 × 294.02
  4. Step 4: Simplify right side
    303.13x = 132,938.20
  5. Step 5: Solve for x
    x = 132,938.20/303.13
  6. Step 6: Final answer
    x = 438.55

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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.