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Finding the Fourth Proportional to 468.12, 645.66 and 302.22

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Solution

The fourth proportional to 468.12, 645.66 and 302.22 is: 416.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.12 : 645.66 = 302.22 : x
  2. Step 2: Convert to fraction form
    468.12/645.66 = 302.22/x
  3. Step 3: Cross multiply
    468.12x = 645.66 × 302.22
  4. Step 4: Simplify right side
    468.12x = 195,131.37
  5. Step 5: Solve for x
    x = 195,131.37/468.12
  6. Step 6: Final answer
    x = 416.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.