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Finding the Fourth Proportional to 425.02, 636.49 and 294.65

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Solution

The fourth proportional to 425.02, 636.49 and 294.65 is: 441.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.02 : 636.49 = 294.65 : x
  2. Step 2: Convert to fraction form
    425.02/636.49 = 294.65/x
  3. Step 3: Cross multiply
    425.02x = 636.49 × 294.65
  4. Step 4: Simplify right side
    425.02x = 187,541.78
  5. Step 5: Solve for x
    x = 187,541.78/425.02
  6. Step 6: Final answer
    x = 441.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.