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Finding the Fourth Proportional to 562.46, 775.62 and 375.95

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Solution

The fourth proportional to 562.46, 775.62 and 375.95 is: 518.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.46 : 775.62 = 375.95 : x
  2. Step 2: Convert to fraction form
    562.46/775.62 = 375.95/x
  3. Step 3: Cross multiply
    562.46x = 775.62 × 375.95
  4. Step 4: Simplify right side
    562.46x = 291,590.46
  5. Step 5: Solve for x
    x = 291,590.46/562.46
  6. Step 6: Final answer
    x = 518.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.