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Finding the Fourth Proportional to 504.10, 755.74 and 230.32

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Solution

The fourth proportional to 504.10, 755.74 and 230.32 is: 345.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.10 : 755.74 = 230.32 : x
  2. Step 2: Convert to fraction form
    504.10/755.74 = 230.32/x
  3. Step 3: Cross multiply
    504.10x = 755.74 × 230.32
  4. Step 4: Simplify right side
    504.10x = 174,062.04
  5. Step 5: Solve for x
    x = 174,062.04/504.10
  6. Step 6: Final answer
    x = 345.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.