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Finding the Fourth Proportional to 466.24, 643.52 and 400.80

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Solution

The fourth proportional to 466.24, 643.52 and 400.80 is: 553.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.24 : 643.52 = 400.80 : x
  2. Step 2: Convert to fraction form
    466.24/643.52 = 400.80/x
  3. Step 3: Cross multiply
    466.24x = 643.52 × 400.80
  4. Step 4: Simplify right side
    466.24x = 257,922.82
  5. Step 5: Solve for x
    x = 257,922.82/466.24
  6. Step 6: Final answer
    x = 553.20

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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.