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Finding the Fourth Proportional to 554.79, 831.24 and 392.22

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Solution

The fourth proportional to 554.79, 831.24 and 392.22 is: 587.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.79 : 831.24 = 392.22 : x
  2. Step 2: Convert to fraction form
    554.79/831.24 = 392.22/x
  3. Step 3: Cross multiply
    554.79x = 831.24 × 392.22
  4. Step 4: Simplify right side
    554.79x = 326,028.95
  5. Step 5: Solve for x
    x = 326,028.95/554.79
  6. Step 6: Final answer
    x = 587.66

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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.