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Finding the Fourth Proportional to 343.58, 514.96 and 307.14

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Solution

The fourth proportional to 343.58, 514.96 and 307.14 is: 460.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.58 : 514.96 = 307.14 : x
  2. Step 2: Convert to fraction form
    343.58/514.96 = 307.14/x
  3. Step 3: Cross multiply
    343.58x = 514.96 × 307.14
  4. Step 4: Simplify right side
    343.58x = 158,164.81
  5. Step 5: Solve for x
    x = 158,164.81/343.58
  6. Step 6: Final answer
    x = 460.34

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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.