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Finding the Fourth Proportional to 283.68, 424.04 and 246.84

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Solution

The fourth proportional to 283.68, 424.04 and 246.84 is: 368.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.68 : 424.04 = 246.84 : x
  2. Step 2: Convert to fraction form
    283.68/424.04 = 246.84/x
  3. Step 3: Cross multiply
    283.68x = 424.04 × 246.84
  4. Step 4: Simplify right side
    283.68x = 104,670.03
  5. Step 5: Solve for x
    x = 104,670.03/283.68
  6. Step 6: Final answer
    x = 368.97

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.