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Finding the Fourth Proportional to 504.76, 696.50 and 294.92

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Solution

The fourth proportional to 504.76, 696.50 and 294.92 is: 406.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.76 : 696.50 = 294.92 : x
  2. Step 2: Convert to fraction form
    504.76/696.50 = 294.92/x
  3. Step 3: Cross multiply
    504.76x = 696.50 × 294.92
  4. Step 4: Simplify right side
    504.76x = 205,411.78
  5. Step 5: Solve for x
    x = 205,411.78/504.76
  6. Step 6: Final answer
    x = 406.95

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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.