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Finding the Fourth Proportional to 941.21, 1,411.59 and 291.95

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Solution

The fourth proportional to 941.21, 1,411.59 and 291.95 is: 437.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.21 : 1,411.59 = 291.95 : x
  2. Step 2: Convert to fraction form
    941.21/1,411.59 = 291.95/x
  3. Step 3: Cross multiply
    941.21x = 1,411.59 × 291.95
  4. Step 4: Simplify right side
    941.21x = 412,113.70
  5. Step 5: Solve for x
    x = 412,113.70/941.21
  6. Step 6: Final answer
    x = 437.86

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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.