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Finding the Fourth Proportional to 504.88, 696.66 and 294.95

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Solution

The fourth proportional to 504.88, 696.66 and 294.95 is: 406.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.88 : 696.66 = 294.95 : x
  2. Step 2: Convert to fraction form
    504.88/696.66 = 294.95/x
  3. Step 3: Cross multiply
    504.88x = 696.66 × 294.95
  4. Step 4: Simplify right side
    504.88x = 205,479.87
  5. Step 5: Solve for x
    x = 205,479.87/504.88
  6. Step 6: Final answer
    x = 406.99

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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.