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Finding the Fourth Proportional to 600.94, 829.04 and 401.58

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Solution

The fourth proportional to 600.94, 829.04 and 401.58 is: 554.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.94 : 829.04 = 401.58 : x
  2. Step 2: Convert to fraction form
    600.94/829.04 = 401.58/x
  3. Step 3: Cross multiply
    600.94x = 829.04 × 401.58
  4. Step 4: Simplify right side
    600.94x = 332,925.88
  5. Step 5: Solve for x
    x = 332,925.88/600.94
  6. Step 6: Final answer
    x = 554.01

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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.