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Finding the Fourth Proportional to 466.65, 699.26 and 284.00

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Solution

The fourth proportional to 466.65, 699.26 and 284.00 is: 425.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.65 : 699.26 = 284.00 : x
  2. Step 2: Convert to fraction form
    466.65/699.26 = 284.00/x
  3. Step 3: Cross multiply
    466.65x = 699.26 × 284.00
  4. Step 4: Simplify right side
    466.65x = 198,584.92
  5. Step 5: Solve for x
    x = 198,584.92/466.65
  6. Step 6: Final answer
    x = 425.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.