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Finding the Fourth Proportional to 949.34, 1,423.97 and 291.19

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Solution

The fourth proportional to 949.34, 1,423.97 and 291.19 is: 436.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.34 : 1,423.97 = 291.19 : x
  2. Step 2: Convert to fraction form
    949.34/1,423.97 = 291.19/x
  3. Step 3: Cross multiply
    949.34x = 1,423.97 × 291.19
  4. Step 4: Simplify right side
    949.34x = 414,640.81
  5. Step 5: Solve for x
    x = 414,640.81/949.34
  6. Step 6: Final answer
    x = 436.77

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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.