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Finding the Fourth Proportional to 949.23, 1,423.85 and 364.10

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Solution

The fourth proportional to 949.23, 1,423.85 and 364.10 is: 546.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.23 : 1,423.85 = 364.10 : x
  2. Step 2: Convert to fraction form
    949.23/1,423.85 = 364.10/x
  3. Step 3: Cross multiply
    949.23x = 1,423.85 × 364.10
  4. Step 4: Simplify right side
    949.23x = 518,414.85
  5. Step 5: Solve for x
    x = 518,414.85/949.23
  6. Step 6: Final answer
    x = 546.14

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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.