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Finding the Fourth Proportional to 429.42, 643.04 and 343.74

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Solution

The fourth proportional to 429.42, 643.04 and 343.74 is: 514.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.42 : 643.04 = 343.74 : x
  2. Step 2: Convert to fraction form
    429.42/643.04 = 343.74/x
  3. Step 3: Cross multiply
    429.42x = 643.04 × 343.74
  4. Step 4: Simplify right side
    429.42x = 221,038.57
  5. Step 5: Solve for x
    x = 221,038.57/429.42
  6. Step 6: Final answer
    x = 514.74

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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.