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Finding the Fourth Proportional to 462.84, 638.98 and 316.14

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Solution

The fourth proportional to 462.84, 638.98 and 316.14 is: 436.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.84 : 638.98 = 316.14 : x
  2. Step 2: Convert to fraction form
    462.84/638.98 = 316.14/x
  3. Step 3: Cross multiply
    462.84x = 638.98 × 316.14
  4. Step 4: Simplify right side
    462.84x = 202,007.14
  5. Step 5: Solve for x
    x = 202,007.14/462.84
  6. Step 6: Final answer
    x = 436.45

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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.