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Finding the Fourth Proportional to 287.17, 395.95 and 242.84

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Solution

The fourth proportional to 287.17, 395.95 and 242.84 is: 334.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.17 : 395.95 = 242.84 : x
  2. Step 2: Convert to fraction form
    287.17/395.95 = 242.84/x
  3. Step 3: Cross multiply
    287.17x = 395.95 × 242.84
  4. Step 4: Simplify right side
    287.17x = 96,151.11
  5. Step 5: Solve for x
    x = 96,151.11/287.17
  6. Step 6: Final answer
    x = 334.82

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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.