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Finding the Fourth Proportional to 356.41, 534.77 and 259.02

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Solution

The fourth proportional to 356.41, 534.77 and 259.02 is: 388.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.41 : 534.77 = 259.02 : x
  2. Step 2: Convert to fraction form
    356.41/534.77 = 259.02/x
  3. Step 3: Cross multiply
    356.41x = 534.77 × 259.02
  4. Step 4: Simplify right side
    356.41x = 138,512.16
  5. Step 5: Solve for x
    x = 138,512.16/356.41
  6. Step 6: Final answer
    x = 388.64

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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.