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Finding the Fourth Proportional to 562.70, 843.77 and 302.63

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Solution

The fourth proportional to 562.70, 843.77 and 302.63 is: 453.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.70 : 843.77 = 302.63 : x
  2. Step 2: Convert to fraction form
    562.70/843.77 = 302.63/x
  3. Step 3: Cross multiply
    562.70x = 843.77 × 302.63
  4. Step 4: Simplify right side
    562.70x = 255,346.65
  5. Step 5: Solve for x
    x = 255,346.65/562.70
  6. Step 6: Final answer
    x = 453.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.