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Finding the Fourth Proportional to 488.16, 731.70 and 214.11

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Solution

The fourth proportional to 488.16, 731.70 and 214.11 is: 320.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.16 : 731.70 = 214.11 : x
  2. Step 2: Convert to fraction form
    488.16/731.70 = 214.11/x
  3. Step 3: Cross multiply
    488.16x = 731.70 × 214.11
  4. Step 4: Simplify right side
    488.16x = 156,664.29
  5. Step 5: Solve for x
    x = 156,664.29/488.16
  6. Step 6: Final answer
    x = 320.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.