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Finding the Fourth Proportional to 284.72, 424.34 and 229.64

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Solution

The fourth proportional to 284.72, 424.34 and 229.64 is: 342.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.72 : 424.34 = 229.64 : x
  2. Step 2: Convert to fraction form
    284.72/424.34 = 229.64/x
  3. Step 3: Cross multiply
    284.72x = 424.34 × 229.64
  4. Step 4: Simplify right side
    284.72x = 97,443.03
  5. Step 5: Solve for x
    x = 97,443.03/284.72
  6. Step 6: Final answer
    x = 342.25

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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.