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Finding the Fourth Proportional to 601.13, 829.95 and 388.83

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Solution

The fourth proportional to 601.13, 829.95 and 388.83 is: 536.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.13 : 829.95 = 388.83 : x
  2. Step 2: Convert to fraction form
    601.13/829.95 = 388.83/x
  3. Step 3: Cross multiply
    601.13x = 829.95 × 388.83
  4. Step 4: Simplify right side
    601.13x = 322,709.46
  5. Step 5: Solve for x
    x = 322,709.46/601.13
  6. Step 6: Final answer
    x = 536.84

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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.