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Finding the Fourth Proportional to 601.80, 830.16 and 414.96

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Solution

The fourth proportional to 601.80, 830.16 and 414.96 is: 572.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.80 : 830.16 = 414.96 : x
  2. Step 2: Convert to fraction form
    601.80/830.16 = 414.96/x
  3. Step 3: Cross multiply
    601.80x = 830.16 × 414.96
  4. Step 4: Simplify right side
    601.80x = 344,483.19
  5. Step 5: Solve for x
    x = 344,483.19/601.80
  6. Step 6: Final answer
    x = 572.42

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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.