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Finding the Fourth Proportional to 538.34, 807.50 and 461.18

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Solution

The fourth proportional to 538.34, 807.50 and 461.18 is: 691.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.34 : 807.50 = 461.18 : x
  2. Step 2: Convert to fraction form
    538.34/807.50 = 461.18/x
  3. Step 3: Cross multiply
    538.34x = 807.50 × 461.18
  4. Step 4: Simplify right side
    538.34x = 372,396.51
  5. Step 5: Solve for x
    x = 372,396.51/538.34
  6. Step 6: Final answer
    x = 691.76

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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.