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Finding the Fourth Proportional to 576.94, 865.00 and 284.08

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Solution

The fourth proportional to 576.94, 865.00 and 284.08 is: 425.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.94 : 865.00 = 284.08 : x
  2. Step 2: Convert to fraction form
    576.94/865.00 = 284.08/x
  3. Step 3: Cross multiply
    576.94x = 865.00 × 284.08
  4. Step 4: Simplify right side
    576.94x = 245,732.25
  5. Step 5: Solve for x
    x = 245,732.25/576.94
  6. Step 6: Final answer
    x = 425.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.