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Finding the Fourth Proportional to 440.36, 607.82 and 265.71

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Solution

The fourth proportional to 440.36, 607.82 and 265.71 is: 366.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.36 : 607.82 = 265.71 : x
  2. Step 2: Convert to fraction form
    440.36/607.82 = 265.71/x
  3. Step 3: Cross multiply
    440.36x = 607.82 × 265.71
  4. Step 4: Simplify right side
    440.36x = 161,502.52
  5. Step 5: Solve for x
    x = 161,502.52/440.36
  6. Step 6: Final answer
    x = 366.76

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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.