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Finding the Fourth Proportional to 303.14, 453.85 and 284.01

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Solution

The fourth proportional to 303.14, 453.85 and 284.01 is: 425.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.14 : 453.85 = 284.01 : x
  2. Step 2: Convert to fraction form
    303.14/453.85 = 284.01/x
  3. Step 3: Cross multiply
    303.14x = 453.85 × 284.01
  4. Step 4: Simplify right side
    303.14x = 128,897.94
  5. Step 5: Solve for x
    x = 128,897.94/303.14
  6. Step 6: Final answer
    x = 425.21

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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.