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Finding the Fourth Proportional to 504, 754.92 and 382.32

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Solution

The fourth proportional to 504, 754.92 and 382.32 is: 572.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    504 : 754.92 = 382.32 : x
  2. Step 2: Convert to fraction form
    504/754.92 = 382.32/x
  3. Step 3: Cross multiply
    504x = 754.92 × 382.32
  4. Step 4: Simplify right side
    504x = 288,621.01
  5. Step 5: Solve for x
    x = 288,621.01/504
  6. Step 6: Final answer
    x = 572.66

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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.