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Finding the Fourth Proportional to 431.45, 646.80 and 294.76

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Solution

The fourth proportional to 431.45, 646.80 and 294.76 is: 441.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.45 : 646.80 = 294.76 : x
  2. Step 2: Convert to fraction form
    431.45/646.80 = 294.76/x
  3. Step 3: Cross multiply
    431.45x = 646.80 × 294.76
  4. Step 4: Simplify right side
    431.45x = 190,650.77
  5. Step 5: Solve for x
    x = 190,650.77/431.45
  6. Step 6: Final answer
    x = 441.88

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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.