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Finding the Fourth Proportional to 466.74, 699.71 and 206.51

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Solution

The fourth proportional to 466.74, 699.71 and 206.51 is: 309.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.74 : 699.71 = 206.51 : x
  2. Step 2: Convert to fraction form
    466.74/699.71 = 206.51/x
  3. Step 3: Cross multiply
    466.74x = 699.71 × 206.51
  4. Step 4: Simplify right side
    466.74x = 144,492.58
  5. Step 5: Solve for x
    x = 144,492.58/466.74
  6. Step 6: Final answer
    x = 309.58

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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.