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Finding the Fourth Proportional to 466.47, 699.95 and 206.65

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Solution

The fourth proportional to 466.47, 699.95 and 206.65 is: 310.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.47 : 699.95 = 206.65 : x
  2. Step 2: Convert to fraction form
    466.47/699.95 = 206.65/x
  3. Step 3: Cross multiply
    466.47x = 699.95 × 206.65
  4. Step 4: Simplify right side
    466.47x = 144,646.90
  5. Step 5: Solve for x
    x = 144,646.90/466.47
  6. Step 6: Final answer
    x = 310.09

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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.