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Finding the Fourth Proportional to 380.93, 525.53 and 282.47

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Solution

The fourth proportional to 380.93, 525.53 and 282.47 is: 389.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.93 : 525.53 = 282.47 : x
  2. Step 2: Convert to fraction form
    380.93/525.53 = 282.47/x
  3. Step 3: Cross multiply
    380.93x = 525.53 × 282.47
  4. Step 4: Simplify right side
    380.93x = 148,444.54
  5. Step 5: Solve for x
    x = 148,444.54/380.93
  6. Step 6: Final answer
    x = 389.69

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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.