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Finding the Fourth Proportional to 462.84, 638.40 and 330.06

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Solution

The fourth proportional to 462.84, 638.40 and 330.06 is: 455.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.84 : 638.40 = 330.06 : x
  2. Step 2: Convert to fraction form
    462.84/638.40 = 330.06/x
  3. Step 3: Cross multiply
    462.84x = 638.40 × 330.06
  4. Step 4: Simplify right side
    462.84x = 210,710.30
  5. Step 5: Solve for x
    x = 210,710.30/462.84
  6. Step 6: Final answer
    x = 455.26

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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.