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Finding the Fourth Proportional to 601.90, 905.58 and 358.60

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Solution

The fourth proportional to 601.90, 905.58 and 358.60 is: 539.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.90 : 905.58 = 358.60 : x
  2. Step 2: Convert to fraction form
    601.90/905.58 = 358.60/x
  3. Step 3: Cross multiply
    601.90x = 905.58 × 358.60
  4. Step 4: Simplify right side
    601.90x = 324,740.99
  5. Step 5: Solve for x
    x = 324,740.99/601.90
  6. Step 6: Final answer
    x = 539.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.