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Finding the Fourth Proportional to 532.17, 797.23 and 312.33

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Solution

The fourth proportional to 532.17, 797.23 and 312.33 is: 467.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.17 : 797.23 = 312.33 : x
  2. Step 2: Convert to fraction form
    532.17/797.23 = 312.33/x
  3. Step 3: Cross multiply
    532.17x = 797.23 × 312.33
  4. Step 4: Simplify right side
    532.17x = 248,999.54
  5. Step 5: Solve for x
    x = 248,999.54/532.17
  6. Step 6: Final answer
    x = 467.89

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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.