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Finding the Fourth Proportional to 364.25, 546.71 and 210.15

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Solution

The fourth proportional to 364.25, 546.71 and 210.15 is: 315.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.25 : 546.71 = 210.15 : x
  2. Step 2: Convert to fraction form
    364.25/546.71 = 210.15/x
  3. Step 3: Cross multiply
    364.25x = 546.71 × 210.15
  4. Step 4: Simplify right side
    364.25x = 114,890.06
  5. Step 5: Solve for x
    x = 114,890.06/364.25
  6. Step 6: Final answer
    x = 315.42

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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.