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Finding the Fourth Proportional to 601.14, 829.59 and 368.22

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Solution

The fourth proportional to 601.14, 829.59 and 368.22 is: 508.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.14 : 829.59 = 368.22 : x
  2. Step 2: Convert to fraction form
    601.14/829.59 = 368.22/x
  3. Step 3: Cross multiply
    601.14x = 829.59 × 368.22
  4. Step 4: Simplify right side
    601.14x = 305,471.63
  5. Step 5: Solve for x
    x = 305,471.63/601.14
  6. Step 6: Final answer
    x = 508.15

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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.