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Finding the Fourth Proportional to 317.19, 437.40 and 298.96

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Solution

The fourth proportional to 317.19, 437.40 and 298.96 is: 412.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.19 : 437.40 = 298.96 : x
  2. Step 2: Convert to fraction form
    317.19/437.40 = 298.96/x
  3. Step 3: Cross multiply
    317.19x = 437.40 × 298.96
  4. Step 4: Simplify right side
    317.19x = 130,765.10
  5. Step 5: Solve for x
    x = 130,765.10/317.19
  6. Step 6: Final answer
    x = 412.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.