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Finding the Fourth Proportional to 504.78, 696.65 and 308.49

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Solution

The fourth proportional to 504.78, 696.65 and 308.49 is: 425.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.78 : 696.65 = 308.49 : x
  2. Step 2: Convert to fraction form
    504.78/696.65 = 308.49/x
  3. Step 3: Cross multiply
    504.78x = 696.65 × 308.49
  4. Step 4: Simplify right side
    504.78x = 214,908.02
  5. Step 5: Solve for x
    x = 214,908.02/504.78
  6. Step 6: Final answer
    x = 425.75

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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.