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Finding the Fourth Proportional to 466.16, 643.45 and 335.55

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Solution

The fourth proportional to 466.16, 643.45 and 335.55 is: 463.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.16 : 643.45 = 335.55 : x
  2. Step 2: Convert to fraction form
    466.16/643.45 = 335.55/x
  3. Step 3: Cross multiply
    466.16x = 643.45 × 335.55
  4. Step 4: Simplify right side
    466.16x = 215,909.65
  5. Step 5: Solve for x
    x = 215,909.65/466.16
  6. Step 6: Final answer
    x = 463.17

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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.