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Finding the Fourth Proportional to 529.51, 793.17 and 312.97

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Solution

The fourth proportional to 529.51, 793.17 and 312.97 is: 468.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.51 : 793.17 = 312.97 : x
  2. Step 2: Convert to fraction form
    529.51/793.17 = 312.97/x
  3. Step 3: Cross multiply
    529.51x = 793.17 × 312.97
  4. Step 4: Simplify right side
    529.51x = 248,238.41
  5. Step 5: Solve for x
    x = 248,238.41/529.51
  6. Step 6: Final answer
    x = 468.81

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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.