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Finding the Fourth Proportional to 638.58, 957.74 and 291.69

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Solution

The fourth proportional to 638.58, 957.74 and 291.69 is: 437.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.58 : 957.74 = 291.69 : x
  2. Step 2: Convert to fraction form
    638.58/957.74 = 291.69/x
  3. Step 3: Cross multiply
    638.58x = 957.74 × 291.69
  4. Step 4: Simplify right side
    638.58x = 279,358.13
  5. Step 5: Solve for x
    x = 279,358.13/638.58
  6. Step 6: Final answer
    x = 437.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.