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Finding the Fourth Proportional to 465.02, 641.49 and 309.50

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Solution

The fourth proportional to 465.02, 641.49 and 309.50 is: 426.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.02 : 641.49 = 309.50 : x
  2. Step 2: Convert to fraction form
    465.02/641.49 = 309.50/x
  3. Step 3: Cross multiply
    465.02x = 641.49 × 309.50
  4. Step 4: Simplify right side
    465.02x = 198,541.16
  5. Step 5: Solve for x
    x = 198,541.16/465.02
  6. Step 6: Final answer
    x = 426.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.