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Finding the Fourth Proportional to 415.77, 574.00 and 276.07

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Solution

The fourth proportional to 415.77, 574.00 and 276.07 is: 381.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.77 : 574.00 = 276.07 : x
  2. Step 2: Convert to fraction form
    415.77/574.00 = 276.07/x
  3. Step 3: Cross multiply
    415.77x = 574.00 × 276.07
  4. Step 4: Simplify right side
    415.77x = 158,464.92
  5. Step 5: Solve for x
    x = 158,464.92/415.77
  6. Step 6: Final answer
    x = 381.14

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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.