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Finding the Fourth Proportional to 560.73, 774.62 and 414.17

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Solution

The fourth proportional to 560.73, 774.62 and 414.17 is: 572.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.73 : 774.62 = 414.17 : x
  2. Step 2: Convert to fraction form
    560.73/774.62 = 414.17/x
  3. Step 3: Cross multiply
    560.73x = 774.62 × 414.17
  4. Step 4: Simplify right side
    560.73x = 320,824.37
  5. Step 5: Solve for x
    x = 320,824.37/560.73
  6. Step 6: Final answer
    x = 572.15

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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.