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Finding the Fourth Proportional to 431.05, 594.70 and 263.06

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Solution

The fourth proportional to 431.05, 594.70 and 263.06 is: 362.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.05 : 594.70 = 263.06 : x
  2. Step 2: Convert to fraction form
    431.05/594.70 = 263.06/x
  3. Step 3: Cross multiply
    431.05x = 594.70 × 263.06
  4. Step 4: Simplify right side
    431.05x = 156,441.78
  5. Step 5: Solve for x
    x = 156,441.78/431.05
  6. Step 6: Final answer
    x = 362.93

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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.