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Finding the Fourth Proportional to 340.01, 509.31 and 282.10

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Solution

The fourth proportional to 340.01, 509.31 and 282.10 is: 422.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.01 : 509.31 = 282.10 : x
  2. Step 2: Convert to fraction form
    340.01/509.31 = 282.10/x
  3. Step 3: Cross multiply
    340.01x = 509.31 × 282.10
  4. Step 4: Simplify right side
    340.01x = 143,675.08
  5. Step 5: Solve for x
    x = 143,675.08/340.01
  6. Step 6: Final answer
    x = 422.56

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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.