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Finding the Fourth Proportional to 440.11, 607.64 and 282.83

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Solution

The fourth proportional to 440.11, 607.64 and 282.83 is: 390.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.11 : 607.64 = 282.83 : x
  2. Step 2: Convert to fraction form
    440.11/607.64 = 282.83/x
  3. Step 3: Cross multiply
    440.11x = 607.64 × 282.83
  4. Step 4: Simplify right side
    440.11x = 171,854.37
  5. Step 5: Solve for x
    x = 171,854.37/440.11
  6. Step 6: Final answer
    x = 390.48

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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.