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Finding the Fourth Proportional to 638.10, 957.24 and 291.52

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Solution

The fourth proportional to 638.10, 957.24 and 291.52 is: 437.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.10 : 957.24 = 291.52 : x
  2. Step 2: Convert to fraction form
    638.10/957.24 = 291.52/x
  3. Step 3: Cross multiply
    638.10x = 957.24 × 291.52
  4. Step 4: Simplify right side
    638.10x = 279,054.60
  5. Step 5: Solve for x
    x = 279,054.60/638.10
  6. Step 6: Final answer
    x = 437.32

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