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Finding the Fourth Proportional to 561.87, 774.45 and 414.27

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Solution

The fourth proportional to 561.87, 774.45 and 414.27 is: 571.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.87 : 774.45 = 414.27 : x
  2. Step 2: Convert to fraction form
    561.87/774.45 = 414.27/x
  3. Step 3: Cross multiply
    561.87x = 774.45 × 414.27
  4. Step 4: Simplify right side
    561.87x = 320,831.40
  5. Step 5: Solve for x
    x = 320,831.40/561.87
  6. Step 6: Final answer
    x = 571.01

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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.