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Finding the Fourth Proportional to 504.25, 754.64 and 309.12

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Solution

The fourth proportional to 504.25, 754.64 and 309.12 is: 462.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.25 : 754.64 = 309.12 : x
  2. Step 2: Convert to fraction form
    504.25/754.64 = 309.12/x
  3. Step 3: Cross multiply
    504.25x = 754.64 × 309.12
  4. Step 4: Simplify right side
    504.25x = 233,272.77
  5. Step 5: Solve for x
    x = 233,272.77/504.25
  6. Step 6: Final answer
    x = 462.62

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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.