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Finding the Fourth Proportional to 313.56, 432.41 and 207.03

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Solution

The fourth proportional to 313.56, 432.41 and 207.03 is: 285.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.56 : 432.41 = 207.03 : x
  2. Step 2: Convert to fraction form
    313.56/432.41 = 207.03/x
  3. Step 3: Cross multiply
    313.56x = 432.41 × 207.03
  4. Step 4: Simplify right side
    313.56x = 89,521.84
  5. Step 5: Solve for x
    x = 89,521.84/313.56
  6. Step 6: Final answer
    x = 285.50

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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.