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Finding the Fourth Proportional to 562.66, 844.80 and 345.58

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Solution

The fourth proportional to 562.66, 844.80 and 345.58 is: 518.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.66 : 844.80 = 345.58 : x
  2. Step 2: Convert to fraction form
    562.66/844.80 = 345.58/x
  3. Step 3: Cross multiply
    562.66x = 844.80 × 345.58
  4. Step 4: Simplify right side
    562.66x = 291,945.98
  5. Step 5: Solve for x
    x = 291,945.98/562.66
  6. Step 6: Final answer
    x = 518.87

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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.