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Finding the Fourth Proportional to 333.23, 459.71 and 202.01

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Solution

The fourth proportional to 333.23, 459.71 and 202.01 is: 278.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.23 : 459.71 = 202.01 : x
  2. Step 2: Convert to fraction form
    333.23/459.71 = 202.01/x
  3. Step 3: Cross multiply
    333.23x = 459.71 × 202.01
  4. Step 4: Simplify right side
    333.23x = 92,866.02
  5. Step 5: Solve for x
    x = 92,866.02/333.23
  6. Step 6: Final answer
    x = 278.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.