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Finding the Fourth Proportional to 530.75, 796.59 and 284.15

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Solution

The fourth proportional to 530.75, 796.59 and 284.15 is: 426.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.75 : 796.59 = 284.15 : x
  2. Step 2: Convert to fraction form
    530.75/796.59 = 284.15/x
  3. Step 3: Cross multiply
    530.75x = 796.59 × 284.15
  4. Step 4: Simplify right side
    530.75x = 226,351.05
  5. Step 5: Solve for x
    x = 226,351.05/530.75
  6. Step 6: Final answer
    x = 426.48

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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.