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Finding the Fourth Proportional to 343.60, 515.40 and 319.30

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Solution

The fourth proportional to 343.60, 515.40 and 319.30 is: 478.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.60 : 515.40 = 319.30 : x
  2. Step 2: Convert to fraction form
    343.60/515.40 = 319.30/x
  3. Step 3: Cross multiply
    343.60x = 515.40 × 319.30
  4. Step 4: Simplify right side
    343.60x = 164,567.22
  5. Step 5: Solve for x
    x = 164,567.22/343.60
  6. Step 6: Final answer
    x = 478.95

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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.