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Finding the Fourth Proportional to 562.82, 844.68 and 302.96

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Solution

The fourth proportional to 562.82, 844.68 and 302.96 is: 454.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.82 : 844.68 = 302.96 : x
  2. Step 2: Convert to fraction form
    562.82/844.68 = 302.96/x
  3. Step 3: Cross multiply
    562.82x = 844.68 × 302.96
  4. Step 4: Simplify right side
    562.82x = 255,904.25
  5. Step 5: Solve for x
    x = 255,904.25/562.82
  6. Step 6: Final answer
    x = 454.68

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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.