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Finding the Fourth Proportional to 504.78, 696.63 and 431.07

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Solution

The fourth proportional to 504.78, 696.63 and 431.07 is: 594.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.78 : 696.63 = 431.07 : x
  2. Step 2: Convert to fraction form
    504.78/696.63 = 431.07/x
  3. Step 3: Cross multiply
    504.78x = 696.63 × 431.07
  4. Step 4: Simplify right side
    504.78x = 300,296.29
  5. Step 5: Solve for x
    x = 300,296.29/504.78
  6. Step 6: Final answer
    x = 594.91

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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.