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Finding the Fourth Proportional to 554.61, 831.92 and 311.31

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Solution

The fourth proportional to 554.61, 831.92 and 311.31 is: 466.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.61 : 831.92 = 311.31 : x
  2. Step 2: Convert to fraction form
    554.61/831.92 = 311.31/x
  3. Step 3: Cross multiply
    554.61x = 831.92 × 311.31
  4. Step 4: Simplify right side
    554.61x = 258,985.21
  5. Step 5: Solve for x
    x = 258,985.21/554.61
  6. Step 6: Final answer
    x = 466.97

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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.