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Finding the Fourth Proportional to 406.50, 561.15 and 303.18

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Solution

The fourth proportional to 406.50, 561.15 and 303.18 is: 418.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.50 : 561.15 = 303.18 : x
  2. Step 2: Convert to fraction form
    406.50/561.15 = 303.18/x
  3. Step 3: Cross multiply
    406.50x = 561.15 × 303.18
  4. Step 4: Simplify right side
    406.50x = 170,129.46
  5. Step 5: Solve for x
    x = 170,129.46/406.50
  6. Step 6: Final answer
    x = 418.52

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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.