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Finding the Fourth Proportional to 296.62, 442.37 and 253.56

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Solution

The fourth proportional to 296.62, 442.37 and 253.56 is: 378.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.62 : 442.37 = 253.56 : x
  2. Step 2: Convert to fraction form
    296.62/442.37 = 253.56/x
  3. Step 3: Cross multiply
    296.62x = 442.37 × 253.56
  4. Step 4: Simplify right side
    296.62x = 112,166.07
  5. Step 5: Solve for x
    x = 112,166.07/296.62
  6. Step 6: Final answer
    x = 378.15

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.