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Finding the Fourth Proportional to 433.68, 598.65 and 293.73

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Solution

The fourth proportional to 433.68, 598.65 and 293.73 is: 405.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.68 : 598.65 = 293.73 : x
  2. Step 2: Convert to fraction form
    433.68/598.65 = 293.73/x
  3. Step 3: Cross multiply
    433.68x = 598.65 × 293.73
  4. Step 4: Simplify right side
    433.68x = 175,841.46
  5. Step 5: Solve for x
    x = 175,841.46/433.68
  6. Step 6: Final answer
    x = 405.46

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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.