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Finding the Fourth Proportional to 314.78, 471.64 and 223.02

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Solution

The fourth proportional to 314.78, 471.64 and 223.02 is: 334.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.78 : 471.64 = 223.02 : x
  2. Step 2: Convert to fraction form
    314.78/471.64 = 223.02/x
  3. Step 3: Cross multiply
    314.78x = 471.64 × 223.02
  4. Step 4: Simplify right side
    314.78x = 105,185.15
  5. Step 5: Solve for x
    x = 105,185.15/314.78
  6. Step 6: Final answer
    x = 334.15

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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.