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Finding the Fourth Proportional to 601.24, 901.70 and 406.14

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Solution

The fourth proportional to 601.24, 901.70 and 406.14 is: 609.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.24 : 901.70 = 406.14 : x
  2. Step 2: Convert to fraction form
    601.24/901.70 = 406.14/x
  3. Step 3: Cross multiply
    601.24x = 901.70 × 406.14
  4. Step 4: Simplify right side
    601.24x = 366,216.44
  5. Step 5: Solve for x
    x = 366,216.44/601.24
  6. Step 6: Final answer
    x = 609.10

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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.