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Finding the Fourth Proportional to 601.20, 824.47 and 576.25

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Solution

The fourth proportional to 601.20, 824.47 and 576.25 is: 790.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.20 : 824.47 = 576.25 : x
  2. Step 2: Convert to fraction form
    601.20/824.47 = 576.25/x
  3. Step 3: Cross multiply
    601.20x = 824.47 × 576.25
  4. Step 4: Simplify right side
    601.20x = 475,100.84
  5. Step 5: Solve for x
    x = 475,100.84/601.20
  6. Step 6: Final answer
    x = 790.25

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.