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Finding the Fourth Proportional to 356.94, 534.27 and 259.10

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Solution

The fourth proportional to 356.94, 534.27 and 259.10 is: 387.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.94 : 534.27 = 259.10 : x
  2. Step 2: Convert to fraction form
    356.94/534.27 = 259.10/x
  3. Step 3: Cross multiply
    356.94x = 534.27 × 259.10
  4. Step 4: Simplify right side
    356.94x = 138,429.36
  5. Step 5: Solve for x
    x = 138,429.36/356.94
  6. Step 6: Final answer
    x = 387.82

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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.