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Finding the Fourth Proportional to 600.74, 829.04 and 348.65

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Solution

The fourth proportional to 600.74, 829.04 and 348.65 is: 481.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.74 : 829.04 = 348.65 : x
  2. Step 2: Convert to fraction form
    600.74/829.04 = 348.65/x
  3. Step 3: Cross multiply
    600.74x = 829.04 × 348.65
  4. Step 4: Simplify right side
    600.74x = 289,041.37
  5. Step 5: Solve for x
    x = 289,041.37/600.74
  6. Step 6: Final answer
    x = 481.14

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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.