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Finding the Fourth Proportional to 601.08, 901.64 and 293.18

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Solution

The fourth proportional to 601.08, 901.64 and 293.18 is: 439.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.08 : 901.64 = 293.18 : x
  2. Step 2: Convert to fraction form
    601.08/901.64 = 293.18/x
  3. Step 3: Cross multiply
    601.08x = 901.64 × 293.18
  4. Step 4: Simplify right side
    601.08x = 264,345.80
  5. Step 5: Solve for x
    x = 264,345.80/601.08
  6. Step 6: Final answer
    x = 439.78

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Why These Related Problems?

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