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Finding the Fourth Proportional to 601.48, 829.85 and 352.81

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Solution

The fourth proportional to 601.48, 829.85 and 352.81 is: 486.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.48 : 829.85 = 352.81 : x
  2. Step 2: Convert to fraction form
    601.48/829.85 = 352.81/x
  3. Step 3: Cross multiply
    601.48x = 829.85 × 352.81
  4. Step 4: Simplify right side
    601.48x = 292,777.52
  5. Step 5: Solve for x
    x = 292,777.52/601.48
  6. Step 6: Final answer
    x = 486.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.