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Finding the Fourth Proportional to 560.68, 774.07 and 374.79

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Solution

The fourth proportional to 560.68, 774.07 and 374.79 is: 517.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.68 : 774.07 = 374.79 : x
  2. Step 2: Convert to fraction form
    560.68/774.07 = 374.79/x
  3. Step 3: Cross multiply
    560.68x = 774.07 × 374.79
  4. Step 4: Simplify right side
    560.68x = 290,111.31
  5. Step 5: Solve for x
    x = 290,111.31/560.68
  6. Step 6: Final answer
    x = 517.42

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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.