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Finding the Fourth Proportional to 282.93, 424.77 and 237.84

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Solution

The fourth proportional to 282.93, 424.77 and 237.84 is: 357.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.93 : 424.77 = 237.84 : x
  2. Step 2: Convert to fraction form
    282.93/424.77 = 237.84/x
  3. Step 3: Cross multiply
    282.93x = 424.77 × 237.84
  4. Step 4: Simplify right side
    282.93x = 101,027.30
  5. Step 5: Solve for x
    x = 101,027.30/282.93
  6. Step 6: Final answer
    x = 357.08

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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.