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Finding the Fourth Proportional to 282.57, 424.01 and 214.07

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Solution

The fourth proportional to 282.57, 424.01 and 214.07 is: 321.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.57 : 424.01 = 214.07 : x
  2. Step 2: Convert to fraction form
    282.57/424.01 = 214.07/x
  3. Step 3: Cross multiply
    282.57x = 424.01 × 214.07
  4. Step 4: Simplify right side
    282.57x = 90,767.81
  5. Step 5: Solve for x
    x = 90,767.81/282.57
  6. Step 6: Final answer
    x = 321.22

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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.