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Finding the Fourth Proportional to 339.87, 469.07 and 319.02

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Solution

The fourth proportional to 339.87, 469.07 and 319.02 is: 440.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.87 : 469.07 = 319.02 : x
  2. Step 2: Convert to fraction form
    339.87/469.07 = 319.02/x
  3. Step 3: Cross multiply
    339.87x = 469.07 × 319.02
  4. Step 4: Simplify right side
    339.87x = 149,642.71
  5. Step 5: Solve for x
    x = 149,642.71/339.87
  6. Step 6: Final answer
    x = 440.29

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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.