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Finding the Fourth Proportional to 601.24, 829.10 and 433.30

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Solution

The fourth proportional to 601.24, 829.10 and 433.30 is: 597.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.24 : 829.10 = 433.30 : x
  2. Step 2: Convert to fraction form
    601.24/829.10 = 433.30/x
  3. Step 3: Cross multiply
    601.24x = 829.10 × 433.30
  4. Step 4: Simplify right side
    601.24x = 359,249.03
  5. Step 5: Solve for x
    x = 359,249.03/601.24
  6. Step 6: Final answer
    x = 597.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.