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Finding the Fourth Proportional to 340.42, 509.45 and 282.75

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Solution

The fourth proportional to 340.42, 509.45 and 282.75 is: 423.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.42 : 509.45 = 282.75 : x
  2. Step 2: Convert to fraction form
    340.42/509.45 = 282.75/x
  3. Step 3: Cross multiply
    340.42x = 509.45 × 282.75
  4. Step 4: Simplify right side
    340.42x = 144,043.03
  5. Step 5: Solve for x
    x = 144,043.03/340.42
  6. Step 6: Final answer
    x = 423.14

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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.