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Finding the Fourth Proportional to 553.68, 831.04 and 322.54

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Solution

The fourth proportional to 553.68, 831.04 and 322.54 is: 484.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.68 : 831.04 = 322.54 : x
  2. Step 2: Convert to fraction form
    553.68/831.04 = 322.54/x
  3. Step 3: Cross multiply
    553.68x = 831.04 × 322.54
  4. Step 4: Simplify right side
    553.68x = 268,040.76
  5. Step 5: Solve for x
    x = 268,040.76/553.68
  6. Step 6: Final answer
    x = 484.11

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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.