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Finding the Fourth Proportional to 504.69, 696.49 and 308.10

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Solution

The fourth proportional to 504.69, 696.49 and 308.10 is: 425.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.69 : 696.49 = 308.10 : x
  2. Step 2: Convert to fraction form
    504.69/696.49 = 308.10/x
  3. Step 3: Cross multiply
    504.69x = 696.49 × 308.10
  4. Step 4: Simplify right side
    504.69x = 214,585.19
  5. Step 5: Solve for x
    x = 214,585.19/504.69
  6. Step 6: Final answer
    x = 425.18

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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.