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Finding the Fourth Proportional to 561.62, 775.35 and 375.42

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Solution

The fourth proportional to 561.62, 775.35 and 375.42 is: 518.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.62 : 775.35 = 375.42 : x
  2. Step 2: Convert to fraction form
    561.62/775.35 = 375.42/x
  3. Step 3: Cross multiply
    561.62x = 775.35 × 375.42
  4. Step 4: Simplify right side
    561.62x = 291,081.90
  5. Step 5: Solve for x
    x = 291,081.90/561.62
  6. Step 6: Final answer
    x = 518.29

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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.