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Finding the Fourth Proportional to 440.76, 608.00 and 285.51

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Solution

The fourth proportional to 440.76, 608.00 and 285.51 is: 393.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.76 : 608.00 = 285.51 : x
  2. Step 2: Convert to fraction form
    440.76/608.00 = 285.51/x
  3. Step 3: Cross multiply
    440.76x = 608.00 × 285.51
  4. Step 4: Simplify right side
    440.76x = 173,588.65
  5. Step 5: Solve for x
    x = 173,588.65/440.76
  6. Step 6: Final answer
    x = 393.84

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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.