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Finding the Fourth Proportional to 601.77, 901.62 and 293.24

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Solution

The fourth proportional to 601.77, 901.62 and 293.24 is: 439.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.77 : 901.62 = 293.24 : x
  2. Step 2: Convert to fraction form
    601.77/901.62 = 293.24/x
  3. Step 3: Cross multiply
    601.77x = 901.62 × 293.24
  4. Step 4: Simplify right side
    601.77x = 264,386.54
  5. Step 5: Solve for x
    x = 264,386.54/601.77
  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.