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Finding the Fourth Proportional to 313.30, 432.42 and 202.93

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Solution

The fourth proportional to 313.30, 432.42 and 202.93 is: 280.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.30 : 432.42 = 202.93 : x
  2. Step 2: Convert to fraction form
    313.30/432.42 = 202.93/x
  3. Step 3: Cross multiply
    313.30x = 432.42 × 202.93
  4. Step 4: Simplify right side
    313.30x = 87,750.99
  5. Step 5: Solve for x
    x = 87,750.99/313.30
  6. Step 6: Final answer
    x = 280.09

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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.