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Finding the Fourth Proportional to 388.48, 536.24 and 310.88

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Solution

The fourth proportional to 388.48, 536.24 and 310.88 is: 429.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.48 : 536.24 = 310.88 : x
  2. Step 2: Convert to fraction form
    388.48/536.24 = 310.88/x
  3. Step 3: Cross multiply
    388.48x = 536.24 × 310.88
  4. Step 4: Simplify right side
    388.48x = 166,706.29
  5. Step 5: Solve for x
    x = 166,706.29/388.48
  6. Step 6: Final answer
    x = 429.12

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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.