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Finding the Fourth Proportional to 949.50, 1,424.10 and 364.19

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Solution

The fourth proportional to 949.50, 1,424.10 and 364.19 is: 546.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.50 : 1,424.10 = 364.19 : x
  2. Step 2: Convert to fraction form
    949.50/1,424.10 = 364.19/x
  3. Step 3: Cross multiply
    949.50x = 1,424.10 × 364.19
  4. Step 4: Simplify right side
    949.50x = 518,635.86
  5. Step 5: Solve for x
    x = 518,635.86/949.50
  6. Step 6: Final answer
    x = 546.22

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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.