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Finding the Fourth Proportional to 601.91, 829.46 and 402.51

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Solution

The fourth proportional to 601.91, 829.46 and 402.51 is: 554.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.91 : 829.46 = 402.51 : x
  2. Step 2: Convert to fraction form
    601.91/829.46 = 402.51/x
  3. Step 3: Cross multiply
    601.91x = 829.46 × 402.51
  4. Step 4: Simplify right side
    601.91x = 333,866.95
  5. Step 5: Solve for x
    x = 333,866.95/601.91
  6. Step 6: Final answer
    x = 554.68

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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.