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Finding the Fourth Proportional to 300.42, 450.84 and 282.60

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Solution

The fourth proportional to 300.42, 450.84 and 282.60 is: 424.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.42 : 450.84 = 282.60 : x
  2. Step 2: Convert to fraction form
    300.42/450.84 = 282.60/x
  3. Step 3: Cross multiply
    300.42x = 450.84 × 282.60
  4. Step 4: Simplify right side
    300.42x = 127,407.38
  5. Step 5: Solve for x
    x = 127,407.38/300.42
  6. Step 6: Final answer
    x = 424.10

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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.