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Finding the Fourth Proportional to 554.54, 831.81 and 266.18

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Solution

The fourth proportional to 554.54, 831.81 and 266.18 is: 399.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.54 : 831.81 = 266.18 : x
  2. Step 2: Convert to fraction form
    554.54/831.81 = 266.18/x
  3. Step 3: Cross multiply
    554.54x = 831.81 × 266.18
  4. Step 4: Simplify right side
    554.54x = 221,407.03
  5. Step 5: Solve for x
    x = 221,407.03/554.54
  6. Step 6: Final answer
    x = 399.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.