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Finding the Fourth Proportional to 284.59, 429.51 and 277.30

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Solution

The fourth proportional to 284.59, 429.51 and 277.30 is: 418.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.59 : 429.51 = 277.30 : x
  2. Step 2: Convert to fraction form
    284.59/429.51 = 277.30/x
  3. Step 3: Cross multiply
    284.59x = 429.51 × 277.30
  4. Step 4: Simplify right side
    284.59x = 119,103.12
  5. Step 5: Solve for x
    x = 119,103.12/284.59
  6. Step 6: Final answer
    x = 418.51

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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.