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Finding the Fourth Proportional to 601.44, 901.54 and 293.10

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Solution

The fourth proportional to 601.44, 901.54 and 293.10 is: 439.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.44 : 901.54 = 293.10 : x
  2. Step 2: Convert to fraction form
    601.44/901.54 = 293.10/x
  3. Step 3: Cross multiply
    601.44x = 901.54 × 293.10
  4. Step 4: Simplify right side
    601.44x = 264,241.37
  5. Step 5: Solve for x
    x = 264,241.37/601.44
  6. Step 6: Final answer
    x = 439.35

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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.