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Finding the Fourth Proportional to 601.81, 830.19 and 405.52

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Solution

The fourth proportional to 601.81, 830.19 and 405.52 is: 559.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.81 : 830.19 = 405.52 : x
  2. Step 2: Convert to fraction form
    601.81/830.19 = 405.52/x
  3. Step 3: Cross multiply
    601.81x = 830.19 × 405.52
  4. Step 4: Simplify right side
    601.81x = 336,658.65
  5. Step 5: Solve for x
    x = 336,658.65/601.81
  6. Step 6: Final answer
    x = 559.41

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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.