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Finding the Fourth Proportional to 560.25, 839.25 and 386.46

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Solution

The fourth proportional to 560.25, 839.25 and 386.46 is: 578.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.25 : 839.25 = 386.46 : x
  2. Step 2: Convert to fraction form
    560.25/839.25 = 386.46/x
  3. Step 3: Cross multiply
    560.25x = 839.25 × 386.46
  4. Step 4: Simplify right side
    560.25x = 324,336.56
  5. Step 5: Solve for x
    x = 324,336.56/560.25
  6. Step 6: Final answer
    x = 578.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.