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Finding the Fourth Proportional to 553.60, 828.78 and 431.95

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Solution

The fourth proportional to 553.60, 828.78 and 431.95 is: 646.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.60 : 828.78 = 431.95 : x
  2. Step 2: Convert to fraction form
    553.60/828.78 = 431.95/x
  3. Step 3: Cross multiply
    553.60x = 828.78 × 431.95
  4. Step 4: Simplify right side
    553.60x = 357,991.52
  5. Step 5: Solve for x
    x = 357,991.52/553.60
  6. Step 6: Final answer
    x = 646.66

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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.