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Finding the Fourth Proportional to 284.65, 429.37 and 270.30

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Solution

The fourth proportional to 284.65, 429.37 and 270.30 is: 407.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.65 : 429.37 = 270.30 : x
  2. Step 2: Convert to fraction form
    284.65/429.37 = 270.30/x
  3. Step 3: Cross multiply
    284.65x = 429.37 × 270.30
  4. Step 4: Simplify right side
    284.65x = 116,058.40
  5. Step 5: Solve for x
    x = 116,058.40/284.65
  6. Step 6: Final answer
    x = 407.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.