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Finding the Fourth Proportional to 375.04, 563.26 and 306.71

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Solution

The fourth proportional to 375.04, 563.26 and 306.71 is: 460.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.04 : 563.26 = 306.71 : x
  2. Step 2: Convert to fraction form
    375.04/563.26 = 306.71/x
  3. Step 3: Cross multiply
    375.04x = 563.26 × 306.71
  4. Step 4: Simplify right side
    375.04x = 172,757.47
  5. Step 5: Solve for x
    x = 172,757.47/375.04
  6. Step 6: Final answer
    x = 460.64

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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.