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Finding the Fourth Proportional to 343.22, 512.29 and 319.14

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Solution

The fourth proportional to 343.22, 512.29 and 319.14 is: 476.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.22 : 512.29 = 319.14 : x
  2. Step 2: Convert to fraction form
    343.22/512.29 = 319.14/x
  3. Step 3: Cross multiply
    343.22x = 512.29 × 319.14
  4. Step 4: Simplify right side
    343.22x = 163,492.23
  5. Step 5: Solve for x
    x = 163,492.23/343.22
  6. Step 6: Final answer
    x = 476.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.