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Finding the Fourth Proportional to 504.57, 696.30 and 294.89

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Solution

The fourth proportional to 504.57, 696.30 and 294.89 is: 406.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.57 : 696.30 = 294.89 : x
  2. Step 2: Convert to fraction form
    504.57/696.30 = 294.89/x
  3. Step 3: Cross multiply
    504.57x = 696.30 × 294.89
  4. Step 4: Simplify right side
    504.57x = 205,328.43
  5. Step 5: Solve for x
    x = 205,328.43/504.57
  6. Step 6: Final answer
    x = 406.94

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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.