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Finding the Fourth Proportional to 538.26, 807.51 and 307.26

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Solution

The fourth proportional to 538.26, 807.51 and 307.26 is: 460.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.26 : 807.51 = 307.26 : x
  2. Step 2: Convert to fraction form
    538.26/807.51 = 307.26/x
  3. Step 3: Cross multiply
    538.26x = 807.51 × 307.26
  4. Step 4: Simplify right side
    538.26x = 248,115.52
  5. Step 5: Solve for x
    x = 248,115.52/538.26
  6. Step 6: Final answer
    x = 460.96

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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.