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Finding the Fourth Proportional to 601.41, 830.33 and 414.84

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Solution

The fourth proportional to 601.41, 830.33 and 414.84 is: 572.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.41 : 830.33 = 414.84 : x
  2. Step 2: Convert to fraction form
    601.41/830.33 = 414.84/x
  3. Step 3: Cross multiply
    601.41x = 830.33 × 414.84
  4. Step 4: Simplify right side
    601.41x = 344,452.02
  5. Step 5: Solve for x
    x = 344,452.02/601.41
  6. Step 6: Final answer
    x = 572.74

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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.