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Finding the Fourth Proportional to 504.24, 695.93 and 294.45

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Solution

The fourth proportional to 504.24, 695.93 and 294.45 is: 406.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.24 : 695.93 = 294.45 : x
  2. Step 2: Convert to fraction form
    504.24/695.93 = 294.45/x
  3. Step 3: Cross multiply
    504.24x = 695.93 × 294.45
  4. Step 4: Simplify right side
    504.24x = 204,916.59
  5. Step 5: Solve for x
    x = 204,916.59/504.24
  6. Step 6: Final answer
    x = 406.39

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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.