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Finding the Fourth Proportional to 530.48, 796.20 and 287.12

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Solution

The fourth proportional to 530.48, 796.20 and 287.12 is: 430.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.48 : 796.20 = 287.12 : x
  2. Step 2: Convert to fraction form
    530.48/796.20 = 287.12/x
  3. Step 3: Cross multiply
    530.48x = 796.20 × 287.12
  4. Step 4: Simplify right side
    530.48x = 228,604.94
  5. Step 5: Solve for x
    x = 228,604.94/530.48
  6. Step 6: Final answer
    x = 430.94

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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.