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Finding the Fourth Proportional to 601.36, 901.76 and 293.12

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Solution

The fourth proportional to 601.36, 901.76 and 293.12 is: 439.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.36 : 901.76 = 293.12 : x
  2. Step 2: Convert to fraction form
    601.36/901.76 = 293.12/x
  3. Step 3: Cross multiply
    601.36x = 901.76 × 293.12
  4. Step 4: Simplify right side
    601.36x = 264,323.89
  5. Step 5: Solve for x
    x = 264,323.89/601.36
  6. Step 6: Final answer
    x = 439.54

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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.