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Finding the Fourth Proportional to 433.62, 598.61 and 294.46

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Solution

The fourth proportional to 433.62, 598.61 and 294.46 is: 406.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.62 : 598.61 = 294.46 : x
  2. Step 2: Convert to fraction form
    433.62/598.61 = 294.46/x
  3. Step 3: Cross multiply
    433.62x = 598.61 × 294.46
  4. Step 4: Simplify right side
    433.62x = 176,265.94
  5. Step 5: Solve for x
    x = 176,265.94/433.62
  6. Step 6: Final answer
    x = 406.50

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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.