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Finding the Fourth Proportional to 601.15, 829.57 and 335.59

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Solution

The fourth proportional to 601.15, 829.57 and 335.59 is: 463.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.15 : 829.57 = 335.59 : x
  2. Step 2: Convert to fraction form
    601.15/829.57 = 335.59/x
  3. Step 3: Cross multiply
    601.15x = 829.57 × 335.59
  4. Step 4: Simplify right side
    601.15x = 278,395.40
  5. Step 5: Solve for x
    x = 278,395.40/601.15
  6. Step 6: Final answer
    x = 463.10

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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.