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Finding the Fourth Proportional to 562.59, 842.08 and 301.94

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Solution

The fourth proportional to 562.59, 842.08 and 301.94 is: 451.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.59 : 842.08 = 301.94 : x
  2. Step 2: Convert to fraction form
    562.59/842.08 = 301.94/x
  3. Step 3: Cross multiply
    562.59x = 842.08 × 301.94
  4. Step 4: Simplify right side
    562.59x = 254,257.64
  5. Step 5: Solve for x
    x = 254,257.64/562.59
  6. Step 6: Final answer
    x = 451.94

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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.