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Finding the Fourth Proportional to 601.07, 829.50 and 352.37

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Solution

The fourth proportional to 601.07, 829.50 and 352.37 is: 486.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.07 : 829.50 = 352.37 : x
  2. Step 2: Convert to fraction form
    601.07/829.50 = 352.37/x
  3. Step 3: Cross multiply
    601.07x = 829.50 × 352.37
  4. Step 4: Simplify right side
    601.07x = 292,290.92
  5. Step 5: Solve for x
    x = 292,290.92/601.07
  6. Step 6: Final answer
    x = 486.28

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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.