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Finding the Fourth Proportional to 296.04, 442.36 and 204.01

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Solution

The fourth proportional to 296.04, 442.36 and 204.01 is: 304.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.04 : 442.36 = 204.01 : x
  2. Step 2: Convert to fraction form
    296.04/442.36 = 204.01/x
  3. Step 3: Cross multiply
    296.04x = 442.36 × 204.01
  4. Step 4: Simplify right side
    296.04x = 90,245.86
  5. Step 5: Solve for x
    x = 90,245.86/296.04
  6. Step 6: Final answer
    x = 304.84

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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.