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Finding the Fourth Proportional to 553.86, 829.60 and 260.92

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Solution

The fourth proportional to 553.86, 829.60 and 260.92 is: 390.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.86 : 829.60 = 260.92 : x
  2. Step 2: Convert to fraction form
    553.86/829.60 = 260.92/x
  3. Step 3: Cross multiply
    553.86x = 829.60 × 260.92
  4. Step 4: Simplify right side
    553.86x = 216,462.39
  5. Step 5: Solve for x
    x = 216,462.39/553.86
  6. Step 6: Final answer
    x = 390.82

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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.