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Finding the Fourth Proportional to 283.68, 424.58 and 202.28

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Solution

The fourth proportional to 283.68, 424.58 and 202.28 is: 302.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.68 : 424.58 = 202.28 : x
  2. Step 2: Convert to fraction form
    283.68/424.58 = 202.28/x
  3. Step 3: Cross multiply
    283.68x = 424.58 × 202.28
  4. Step 4: Simplify right side
    283.68x = 85,880.91
  5. Step 5: Solve for x
    x = 85,880.91/283.68
  6. Step 6: Final answer
    x = 302.74

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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.