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Finding the Fourth Proportional to 560.89, 774.06 and 324.84

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Solution

The fourth proportional to 560.89, 774.06 and 324.84 is: 448.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.89 : 774.06 = 324.84 : x
  2. Step 2: Convert to fraction form
    560.89/774.06 = 324.84/x
  3. Step 3: Cross multiply
    560.89x = 774.06 × 324.84
  4. Step 4: Simplify right side
    560.89x = 251,450.08
  5. Step 5: Solve for x
    x = 251,450.08/560.89
  6. Step 6: Final answer
    x = 448.30

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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.