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Finding the Fourth Proportional to 313.47, 469.59 and 204.93

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Solution

The fourth proportional to 313.47, 469.59 and 204.93 is: 306.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.47 : 469.59 = 204.93 : x
  2. Step 2: Convert to fraction form
    313.47/469.59 = 204.93/x
  3. Step 3: Cross multiply
    313.47x = 469.59 × 204.93
  4. Step 4: Simplify right side
    313.47x = 96,229.71
  5. Step 5: Solve for x
    x = 96,229.71/313.47
  6. Step 6: Final answer
    x = 306.99

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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.