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Finding the Fourth Proportional to 424.07, 585.01 and 276.65

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Solution

The fourth proportional to 424.07, 585.01 and 276.65 is: 381.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.07 : 585.01 = 276.65 : x
  2. Step 2: Convert to fraction form
    424.07/585.01 = 276.65/x
  3. Step 3: Cross multiply
    424.07x = 585.01 × 276.65
  4. Step 4: Simplify right side
    424.07x = 161,843.02
  5. Step 5: Solve for x
    x = 161,843.02/424.07
  6. Step 6: Final answer
    x = 381.64

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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.