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Finding the Fourth Proportional to 540.14, 805.98 and 429.20

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Solution

The fourth proportional to 540.14, 805.98 and 429.20 is: 640.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.14 : 805.98 = 429.20 : x
  2. Step 2: Convert to fraction form
    540.14/805.98 = 429.20/x
  3. Step 3: Cross multiply
    540.14x = 805.98 × 429.20
  4. Step 4: Simplify right side
    540.14x = 345,926.62
  5. Step 5: Solve for x
    x = 345,926.62/540.14
  6. Step 6: Final answer
    x = 640.44

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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.