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Finding the Fourth Proportional to 388.17, 536.22 and 295.29

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Solution

The fourth proportional to 388.17, 536.22 and 295.29 is: 407.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.17 : 536.22 = 295.29 : x
  2. Step 2: Convert to fraction form
    388.17/536.22 = 295.29/x
  3. Step 3: Cross multiply
    388.17x = 536.22 × 295.29
  4. Step 4: Simplify right side
    388.17x = 158,340.40
  5. Step 5: Solve for x
    x = 158,340.40/388.17
  6. Step 6: Final answer
    x = 407.92

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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.