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Finding the Fourth Proportional to 466.95, 701.64 and 261.83

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Solution

The fourth proportional to 466.95, 701.64 and 261.83 is: 393.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.95 : 701.64 = 261.83 : x
  2. Step 2: Convert to fraction form
    466.95/701.64 = 261.83/x
  3. Step 3: Cross multiply
    466.95x = 701.64 × 261.83
  4. Step 4: Simplify right side
    466.95x = 183,706.89
  5. Step 5: Solve for x
    x = 183,706.89/466.95
  6. Step 6: Final answer
    x = 393.42

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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.