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Finding the Fourth Proportional to 601.14, 829.86 and 402.32

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Solution

The fourth proportional to 601.14, 829.86 and 402.32 is: 555.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.14 : 829.86 = 402.32 : x
  2. Step 2: Convert to fraction form
    601.14/829.86 = 402.32/x
  3. Step 3: Cross multiply
    601.14x = 829.86 × 402.32
  4. Step 4: Simplify right side
    601.14x = 333,865.13
  5. Step 5: Solve for x
    x = 333,865.13/601.14
  6. Step 6: Final answer
    x = 555.39

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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.