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Finding the Fourth Proportional to 446.40, 616.05 and 280.53

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Solution

The fourth proportional to 446.40, 616.05 and 280.53 is: 387.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.40 : 616.05 = 280.53 : x
  2. Step 2: Convert to fraction form
    446.40/616.05 = 280.53/x
  3. Step 3: Cross multiply
    446.40x = 616.05 × 280.53
  4. Step 4: Simplify right side
    446.40x = 172,820.51
  5. Step 5: Solve for x
    x = 172,820.51/446.40
  6. Step 6: Final answer
    x = 387.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.