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Finding the Fourth Proportional to 300.35, 452.43 and 282.13

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Solution

The fourth proportional to 300.35, 452.43 and 282.13 is: 424.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.35 : 452.43 = 282.13 : x
  2. Step 2: Convert to fraction form
    300.35/452.43 = 282.13/x
  3. Step 3: Cross multiply
    300.35x = 452.43 × 282.13
  4. Step 4: Simplify right side
    300.35x = 127,642.94
  5. Step 5: Solve for x
    x = 127,642.94/300.35
  6. Step 6: Final answer
    x = 424.98

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.