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Finding the Fourth Proportional to 364.12, 546.22 and 314.88

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Solution

The fourth proportional to 364.12, 546.22 and 314.88 is: 472.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.12 : 546.22 = 314.88 : x
  2. Step 2: Convert to fraction form
    364.12/546.22 = 314.88/x
  3. Step 3: Cross multiply
    364.12x = 546.22 × 314.88
  4. Step 4: Simplify right side
    364.12x = 171,993.75
  5. Step 5: Solve for x
    x = 171,993.75/364.12
  6. Step 6: Final answer
    x = 472.35

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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.