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Finding the Fourth Proportional to 350.11, 524.52 and 312.43

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Solution

The fourth proportional to 350.11, 524.52 and 312.43 is: 468.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.11 : 524.52 = 312.43 : x
  2. Step 2: Convert to fraction form
    350.11/524.52 = 312.43/x
  3. Step 3: Cross multiply
    350.11x = 524.52 × 312.43
  4. Step 4: Simplify right side
    350.11x = 163,875.78
  5. Step 5: Solve for x
    x = 163,875.78/350.11
  6. Step 6: Final answer
    x = 468.07

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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.