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Finding the Fourth Proportional to 831.30, 1,245.15 and 446.10

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Solution

The fourth proportional to 831.30, 1,245.15 and 446.10 is: 668.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.30 : 1,245.15 = 446.10 : x
  2. Step 2: Convert to fraction form
    831.30/1,245.15 = 446.10/x
  3. Step 3: Cross multiply
    831.30x = 1,245.15 × 446.10
  4. Step 4: Simplify right side
    831.30x = 555,461.42
  5. Step 5: Solve for x
    x = 555,461.42/831.30
  6. Step 6: Final answer
    x = 668.18

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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.