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Finding the Fourth Proportional to 553.88, 831.05 and 433.14

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Solution

The fourth proportional to 553.88, 831.05 and 433.14 is: 649.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.88 : 831.05 = 433.14 : x
  2. Step 2: Convert to fraction form
    553.88/831.05 = 433.14/x
  3. Step 3: Cross multiply
    553.88x = 831.05 × 433.14
  4. Step 4: Simplify right side
    553.88x = 359,961.00
  5. Step 5: Solve for x
    x = 359,961.00/553.88
  6. Step 6: Final answer
    x = 649.89

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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.