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Finding the Fourth Proportional to 282.90, 424.62 and 211.08

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Solution

The fourth proportional to 282.90, 424.62 and 211.08 is: 316.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.90 : 424.62 = 211.08 : x
  2. Step 2: Convert to fraction form
    282.90/424.62 = 211.08/x
  3. Step 3: Cross multiply
    282.90x = 424.62 × 211.08
  4. Step 4: Simplify right side
    282.90x = 89,628.79
  5. Step 5: Solve for x
    x = 89,628.79/282.90
  6. Step 6: Final answer
    x = 316.82

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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.