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Finding the Fourth Proportional to 538.64, 807.25 and 294.63

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Solution

The fourth proportional to 538.64, 807.25 and 294.63 is: 441.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.64 : 807.25 = 294.63 : x
  2. Step 2: Convert to fraction form
    538.64/807.25 = 294.63/x
  3. Step 3: Cross multiply
    538.64x = 807.25 × 294.63
  4. Step 4: Simplify right side
    538.64x = 237,840.07
  5. Step 5: Solve for x
    x = 237,840.07/538.64
  6. Step 6: Final answer
    x = 441.56

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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.