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Finding the Fourth Proportional to 561.48, 772.50 and 494.79

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Solution

The fourth proportional to 561.48, 772.50 and 494.79 is: 680.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.48 : 772.50 = 494.79 : x
  2. Step 2: Convert to fraction form
    561.48/772.50 = 494.79/x
  3. Step 3: Cross multiply
    561.48x = 772.50 × 494.79
  4. Step 4: Simplify right side
    561.48x = 382,222.80
  5. Step 5: Solve for x
    x = 382,222.80/561.48
  6. Step 6: Final answer
    x = 680.74

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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.