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Finding the Fourth Proportional to 381.65, 525.88 and 314.51

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Solution

The fourth proportional to 381.65, 525.88 and 314.51 is: 433.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.65 : 525.88 = 314.51 : x
  2. Step 2: Convert to fraction form
    381.65/525.88 = 314.51/x
  3. Step 3: Cross multiply
    381.65x = 525.88 × 314.51
  4. Step 4: Simplify right side
    381.65x = 165,395.05
  5. Step 5: Solve for x
    x = 165,395.05/381.65
  6. Step 6: Final answer
    x = 433.37

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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.