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Finding the Fourth Proportional to 504.27, 695.66 and 431.37

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Solution

The fourth proportional to 504.27, 695.66 and 431.37 is: 595.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.27 : 695.66 = 431.37 : x
  2. Step 2: Convert to fraction form
    504.27/695.66 = 431.37/x
  3. Step 3: Cross multiply
    504.27x = 695.66 × 431.37
  4. Step 4: Simplify right side
    504.27x = 300,084.70
  5. Step 5: Solve for x
    x = 300,084.70/504.27
  6. Step 6: Final answer
    x = 595.09

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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.