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Finding the Fourth Proportional to 504.89, 696.68 and 295.09

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Solution

The fourth proportional to 504.89, 696.68 and 295.09 is: 407.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.89 : 696.68 = 295.09 : x
  2. Step 2: Convert to fraction form
    504.89/696.68 = 295.09/x
  3. Step 3: Cross multiply
    504.89x = 696.68 × 295.09
  4. Step 4: Simplify right side
    504.89x = 205,578.34
  5. Step 5: Solve for x
    x = 205,578.34/504.89
  6. Step 6: Final answer
    x = 407.17

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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.