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Finding the Fourth Proportional to 375.75, 518.54 and 265.32

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Solution

The fourth proportional to 375.75, 518.54 and 265.32 is: 366.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.75 : 518.54 = 265.32 : x
  2. Step 2: Convert to fraction form
    375.75/518.54 = 265.32/x
  3. Step 3: Cross multiply
    375.75x = 518.54 × 265.32
  4. Step 4: Simplify right side
    375.75x = 137,577.71
  5. Step 5: Solve for x
    x = 137,577.71/375.75
  6. Step 6: Final answer
    x = 366.14

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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.