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Finding the Fourth Proportional to 606.46, 838.66 and 595.52

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Solution

The fourth proportional to 606.46, 838.66 and 595.52 is: 823.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.46 : 838.66 = 595.52 : x
  2. Step 2: Convert to fraction form
    606.46/838.66 = 595.52/x
  3. Step 3: Cross multiply
    606.46x = 838.66 × 595.52
  4. Step 4: Simplify right side
    606.46x = 499,438.80
  5. Step 5: Solve for x
    x = 499,438.80/606.46
  6. Step 6: Final answer
    x = 823.54

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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.