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Finding the Fourth Proportional to 553.42, 829.02 and 333.93

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Solution

The fourth proportional to 553.42, 829.02 and 333.93 is: 500.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.42 : 829.02 = 333.93 : x
  2. Step 2: Convert to fraction form
    553.42/829.02 = 333.93/x
  3. Step 3: Cross multiply
    553.42x = 829.02 × 333.93
  4. Step 4: Simplify right side
    553.42x = 276,831.34
  5. Step 5: Solve for x
    x = 276,831.34/553.42
  6. Step 6: Final answer
    x = 500.22

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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.