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Finding the Fourth Proportional to 303.84, 455.28 and 207.60

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Solution

The fourth proportional to 303.84, 455.28 and 207.60 is: 311.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.84 : 455.28 = 207.60 : x
  2. Step 2: Convert to fraction form
    303.84/455.28 = 207.60/x
  3. Step 3: Cross multiply
    303.84x = 455.28 × 207.60
  4. Step 4: Simplify right side
    303.84x = 94,516.13
  5. Step 5: Solve for x
    x = 94,516.13/303.84
  6. Step 6: Final answer
    x = 311.07

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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.