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Finding the Fourth Proportional to 504.57, 696.30 and 308.04

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Solution

The fourth proportional to 504.57, 696.30 and 308.04 is: 425.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.57 : 696.30 = 308.04 : x
  2. Step 2: Convert to fraction form
    504.57/696.30 = 308.04/x
  3. Step 3: Cross multiply
    504.57x = 696.30 × 308.04
  4. Step 4: Simplify right side
    504.57x = 214,488.25
  5. Step 5: Solve for x
    x = 214,488.25/504.57
  6. Step 6: Final answer
    x = 425.10

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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.