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Finding the Fourth Proportional to 562.11, 842.86 and 302.42

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Solution

The fourth proportional to 562.11, 842.86 and 302.42 is: 453.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.11 : 842.86 = 302.42 : x
  2. Step 2: Convert to fraction form
    562.11/842.86 = 302.42/x
  3. Step 3: Cross multiply
    562.11x = 842.86 × 302.42
  4. Step 4: Simplify right side
    562.11x = 254,897.72
  5. Step 5: Solve for x
    x = 254,897.72/562.11
  6. Step 6: Final answer
    x = 453.47

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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.