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Finding the Fourth Proportional to 466.70, 699.13 and 283.66

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Solution

The fourth proportional to 466.70, 699.13 and 283.66 is: 424.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.70 : 699.13 = 283.66 : x
  2. Step 2: Convert to fraction form
    466.70/699.13 = 283.66/x
  3. Step 3: Cross multiply
    466.70x = 699.13 × 283.66
  4. Step 4: Simplify right side
    466.70x = 198,315.22
  5. Step 5: Solve for x
    x = 198,315.22/466.70
  6. Step 6: Final answer
    x = 424.93

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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.