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Finding the Fourth Proportional to 282.24, 424.44 and 246.60

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Solution

The fourth proportional to 282.24, 424.44 and 246.60 is: 370.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.24 : 424.44 = 246.60 : x
  2. Step 2: Convert to fraction form
    282.24/424.44 = 246.60/x
  3. Step 3: Cross multiply
    282.24x = 424.44 × 246.60
  4. Step 4: Simplify right side
    282.24x = 104,666.90
  5. Step 5: Solve for x
    x = 104,666.90/282.24
  6. Step 6: Final answer
    x = 370.84

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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.