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Finding the Fourth Proportional to 284.04, 422.62 and 283.04

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Solution

The fourth proportional to 284.04, 422.62 and 283.04 is: 421.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.04 : 422.62 = 283.04 : x
  2. Step 2: Convert to fraction form
    284.04/422.62 = 283.04/x
  3. Step 3: Cross multiply
    284.04x = 422.62 × 283.04
  4. Step 4: Simplify right side
    284.04x = 119,618.36
  5. Step 5: Solve for x
    x = 119,618.36/284.04
  6. Step 6: Final answer
    x = 421.13

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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.