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Finding the Fourth Proportional to 466.53, 699.33 and 302.16

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Solution

The fourth proportional to 466.53, 699.33 and 302.16 is: 452.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.53 : 699.33 = 302.16 : x
  2. Step 2: Convert to fraction form
    466.53/699.33 = 302.16/x
  3. Step 3: Cross multiply
    466.53x = 699.33 × 302.16
  4. Step 4: Simplify right side
    466.53x = 211,309.55
  5. Step 5: Solve for x
    x = 211,309.55/466.53
  6. Step 6: Final answer
    x = 452.94

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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.