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Finding the Fourth Proportional to 387.63, 535.01 and 256.82

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Solution

The fourth proportional to 387.63, 535.01 and 256.82 is: 354.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.63 : 535.01 = 256.82 : x
  2. Step 2: Convert to fraction form
    387.63/535.01 = 256.82/x
  3. Step 3: Cross multiply
    387.63x = 535.01 × 256.82
  4. Step 4: Simplify right side
    387.63x = 137,397.31
  5. Step 5: Solve for x
    x = 137,397.31/387.63
  6. Step 6: Final answer
    x = 354.45

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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.