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Finding the Fourth Proportional to 841.46, 1,261.41 and 354.24

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Solution

The fourth proportional to 841.46, 1,261.41 and 354.24 is: 531.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.46 : 1,261.41 = 354.24 : x
  2. Step 2: Convert to fraction form
    841.46/1,261.41 = 354.24/x
  3. Step 3: Cross multiply
    841.46x = 1,261.41 × 354.24
  4. Step 4: Simplify right side
    841.46x = 446,840.55
  5. Step 5: Solve for x
    x = 446,840.55/841.46
  6. Step 6: Final answer
    x = 531.03

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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.