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Finding the Fourth Proportional to 450.79, 675.18 and 294.84

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Solution

The fourth proportional to 450.79, 675.18 and 294.84 is: 441.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.79 : 675.18 = 294.84 : x
  2. Step 2: Convert to fraction form
    450.79/675.18 = 294.84/x
  3. Step 3: Cross multiply
    450.79x = 675.18 × 294.84
  4. Step 4: Simplify right side
    450.79x = 199,066.70
  5. Step 5: Solve for x
    x = 199,066.70/450.79
  6. Step 6: Final answer
    x = 441.60

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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.