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Finding the Fourth Proportional to 432.95, 648.50 and 350.33

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Solution

The fourth proportional to 432.95, 648.50 and 350.33 is: 524.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.95 : 648.50 = 350.33 : x
  2. Step 2: Convert to fraction form
    432.95/648.50 = 350.33/x
  3. Step 3: Cross multiply
    432.95x = 648.50 × 350.33
  4. Step 4: Simplify right side
    432.95x = 227,184.01
  5. Step 5: Solve for x
    x = 227,184.01/432.95
  6. Step 6: Final answer
    x = 524.74

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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.