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Finding the Fourth Proportional to 466.80, 699.64 and 210

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Solution

The fourth proportional to 466.80, 699.64 and 210 is: 314.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.80 : 699.64 = 210 : x
  2. Step 2: Convert to fraction form
    466.80/699.64 = 210/x
  3. Step 3: Cross multiply
    466.80x = 699.64 × 210
  4. Step 4: Simplify right side
    466.80x = 146,924.40
  5. Step 5: Solve for x
    x = 146,924.40/466.80
  6. Step 6: Final answer
    x = 314.75

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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.