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Finding the Fourth Proportional to 562.38, 843.06 and 302.26

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Solution

The fourth proportional to 562.38, 843.06 and 302.26 is: 453.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.38 : 843.06 = 302.26 : x
  2. Step 2: Convert to fraction form
    562.38/843.06 = 302.26/x
  3. Step 3: Cross multiply
    562.38x = 843.06 × 302.26
  4. Step 4: Simplify right side
    562.38x = 254,823.32
  5. Step 5: Solve for x
    x = 254,823.32/562.38
  6. Step 6: Final answer
    x = 453.12

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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.