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Finding the Fourth Proportional to 440.40, 607.68 and 265.71

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Solution

The fourth proportional to 440.40, 607.68 and 265.71 is: 366.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.40 : 607.68 = 265.71 : x
  2. Step 2: Convert to fraction form
    440.40/607.68 = 265.71/x
  3. Step 3: Cross multiply
    440.40x = 607.68 × 265.71
  4. Step 4: Simplify right side
    440.40x = 161,466.65
  5. Step 5: Solve for x
    x = 161,466.65/440.40
  6. Step 6: Final answer
    x = 366.64

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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.