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Finding the Fourth Proportional to 561.79, 776.39 and 404.60

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Solution

The fourth proportional to 561.79, 776.39 and 404.60 is: 559.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.79 : 776.39 = 404.60 : x
  2. Step 2: Convert to fraction form
    561.79/776.39 = 404.60/x
  3. Step 3: Cross multiply
    561.79x = 776.39 × 404.60
  4. Step 4: Simplify right side
    561.79x = 314,121.49
  5. Step 5: Solve for x
    x = 314,121.49/561.79
  6. Step 6: Final answer
    x = 559.15

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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.