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Finding the Fourth Proportional to 601.02, 829.39 and 352.35

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Solution

The fourth proportional to 601.02, 829.39 and 352.35 is: 486.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.02 : 829.39 = 352.35 : x
  2. Step 2: Convert to fraction form
    601.02/829.39 = 352.35/x
  3. Step 3: Cross multiply
    601.02x = 829.39 × 352.35
  4. Step 4: Simplify right side
    601.02x = 292,235.35
  5. Step 5: Solve for x
    x = 292,235.35/601.02
  6. Step 6: Final answer
    x = 486.23

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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.