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Finding the Fourth Proportional to 284.72, 423.51 and 261.50

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Solution

The fourth proportional to 284.72, 423.51 and 261.50 is: 388.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.72 : 423.51 = 261.50 : x
  2. Step 2: Convert to fraction form
    284.72/423.51 = 261.50/x
  3. Step 3: Cross multiply
    284.72x = 423.51 × 261.50
  4. Step 4: Simplify right side
    284.72x = 110,744.77
  5. Step 5: Solve for x
    x = 110,744.77/284.72
  6. Step 6: Final answer
    x = 388.97

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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.