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Finding the Fourth Proportional to 576.40, 864.88 and 284.08

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Solution

The fourth proportional to 576.40, 864.88 and 284.08 is: 426.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.40 : 864.88 = 284.08 : x
  2. Step 2: Convert to fraction form
    576.40/864.88 = 284.08/x
  3. Step 3: Cross multiply
    576.40x = 864.88 × 284.08
  4. Step 4: Simplify right side
    576.40x = 245,695.11
  5. Step 5: Solve for x
    x = 245,695.11/576.40
  6. Step 6: Final answer
    x = 426.26

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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.