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Finding the Fourth Proportional to 317.60, 438.24 and 214

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Solution

The fourth proportional to 317.60, 438.24 and 214 is: 295.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.60 : 438.24 = 214 : x
  2. Step 2: Convert to fraction form
    317.60/438.24 = 214/x
  3. Step 3: Cross multiply
    317.60x = 438.24 × 214
  4. Step 4: Simplify right side
    317.60x = 93,783.36
  5. Step 5: Solve for x
    x = 93,783.36/317.60
  6. Step 6: Final answer
    x = 295.29

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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.