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Finding the Fourth Proportional to 433.68, 598.28 and 293.74

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Solution

The fourth proportional to 433.68, 598.28 and 293.74 is: 405.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.68 : 598.28 = 293.74 : x
  2. Step 2: Convert to fraction form
    433.68/598.28 = 293.74/x
  3. Step 3: Cross multiply
    433.68x = 598.28 × 293.74
  4. Step 4: Simplify right side
    433.68x = 175,738.77
  5. Step 5: Solve for x
    x = 175,738.77/433.68
  6. Step 6: Final answer
    x = 405.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.