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Finding the Fourth Proportional to 440.31, 607.68 and 282.88

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Solution

The fourth proportional to 440.31, 607.68 and 282.88 is: 390.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.31 : 607.68 = 282.88 : x
  2. Step 2: Convert to fraction form
    440.31/607.68 = 282.88/x
  3. Step 3: Cross multiply
    440.31x = 607.68 × 282.88
  4. Step 4: Simplify right side
    440.31x = 171,899.10
  5. Step 5: Solve for x
    x = 171,899.10/440.31
  6. Step 6: Final answer
    x = 390.41

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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.