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Finding the Fourth Proportional to 504.30, 765.24 and 504.30

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Solution

The fourth proportional to 504.30, 765.24 and 504.30 is: 765.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.30 : 765.24 = 504.30 : x
  2. Step 2: Convert to fraction form
    504.30/765.24 = 504.30/x
  3. Step 3: Cross multiply
    504.30x = 765.24 × 504.30
  4. Step 4: Simplify right side
    504.30x = 385,910.53
  5. Step 5: Solve for x
    x = 385,910.53/504.30
  6. Step 6: Final answer
    x = 765.24

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.