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Finding the Fourth Proportional to 466.52, 700.02 and 206.58

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Solution

The fourth proportional to 466.52, 700.02 and 206.58 is: 309.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.52 : 700.02 = 206.58 : x
  2. Step 2: Convert to fraction form
    466.52/700.02 = 206.58/x
  3. Step 3: Cross multiply
    466.52x = 700.02 × 206.58
  4. Step 4: Simplify right side
    466.52x = 144,610.13
  5. Step 5: Solve for x
    x = 144,610.13/466.52
  6. Step 6: Final answer
    x = 309.97

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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.