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Finding the Fourth Proportional to 504.65, 696.35 and 294.86

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Solution

The fourth proportional to 504.65, 696.35 and 294.86 is: 406.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.65 : 696.35 = 294.86 : x
  2. Step 2: Convert to fraction form
    504.65/696.35 = 294.86/x
  3. Step 3: Cross multiply
    504.65x = 696.35 × 294.86
  4. Step 4: Simplify right side
    504.65x = 205,328.24
  5. Step 5: Solve for x
    x = 205,328.24/504.65
  6. Step 6: Final answer
    x = 406.87

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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.