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Finding the Fourth Proportional to 561.90, 775.38 and 341.16

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Solution

The fourth proportional to 561.90, 775.38 and 341.16 is: 470.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.90 : 775.38 = 341.16 : x
  2. Step 2: Convert to fraction form
    561.90/775.38 = 341.16/x
  3. Step 3: Cross multiply
    561.90x = 775.38 × 341.16
  4. Step 4: Simplify right side
    561.90x = 264,528.64
  5. Step 5: Solve for x
    x = 264,528.64/561.90
  6. Step 6: Final answer
    x = 470.78

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Why These Related Problems?

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