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Finding the Fourth Proportional to 504.07, 695.82 and 294.44

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Solution

The fourth proportional to 504.07, 695.82 and 294.44 is: 406.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.07 : 695.82 = 294.44 : x
  2. Step 2: Convert to fraction form
    504.07/695.82 = 294.44/x
  3. Step 3: Cross multiply
    504.07x = 695.82 × 294.44
  4. Step 4: Simplify right side
    504.07x = 204,877.24
  5. Step 5: Solve for x
    x = 204,877.24/504.07
  6. Step 6: Final answer
    x = 406.45

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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.