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Finding the Fourth Proportional to 504.90, 696.31 and 364.94

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Solution

The fourth proportional to 504.90, 696.31 and 364.94 is: 503.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.90 : 696.31 = 364.94 : x
  2. Step 2: Convert to fraction form
    504.90/696.31 = 364.94/x
  3. Step 3: Cross multiply
    504.90x = 696.31 × 364.94
  4. Step 4: Simplify right side
    504.90x = 254,111.37
  5. Step 5: Solve for x
    x = 254,111.37/504.90
  6. Step 6: Final answer
    x = 503.29

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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.