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Finding the Fourth Proportional to 342.30, 514.66 and 282.36

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Solution

The fourth proportional to 342.30, 514.66 and 282.36 is: 424.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.30 : 514.66 = 282.36 : x
  2. Step 2: Convert to fraction form
    342.30/514.66 = 282.36/x
  3. Step 3: Cross multiply
    342.30x = 514.66 × 282.36
  4. Step 4: Simplify right side
    342.30x = 145,319.40
  5. Step 5: Solve for x
    x = 145,319.40/342.30
  6. Step 6: Final answer
    x = 424.54

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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.