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Finding the Fourth Proportional to 296.97, 444.74 and 256.65

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Solution

The fourth proportional to 296.97, 444.74 and 256.65 is: 384.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.97 : 444.74 = 256.65 : x
  2. Step 2: Convert to fraction form
    296.97/444.74 = 256.65/x
  3. Step 3: Cross multiply
    296.97x = 444.74 × 256.65
  4. Step 4: Simplify right side
    296.97x = 114,141.24
  5. Step 5: Solve for x
    x = 114,141.24/296.97
  6. Step 6: Final answer
    x = 384.35

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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.