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Finding the Fourth Proportional to 561.88, 775.36 and 340.76

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Solution

The fourth proportional to 561.88, 775.36 and 340.76 is: 470.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.88 : 775.36 = 340.76 : x
  2. Step 2: Convert to fraction form
    561.88/775.36 = 340.76/x
  3. Step 3: Cross multiply
    561.88x = 775.36 × 340.76
  4. Step 4: Simplify right side
    561.88x = 264,211.67
  5. Step 5: Solve for x
    x = 264,211.67/561.88
  6. Step 6: Final answer
    x = 470.23

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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.