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Finding the Fourth Proportional to 355.94, 532.77 and 258.10

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Solution

The fourth proportional to 355.94, 532.77 and 258.10 is: 386.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.94 : 532.77 = 258.10 : x
  2. Step 2: Convert to fraction form
    355.94/532.77 = 258.10/x
  3. Step 3: Cross multiply
    355.94x = 532.77 × 258.10
  4. Step 4: Simplify right side
    355.94x = 137,507.94
  5. Step 5: Solve for x
    x = 137,507.94/355.94
  6. Step 6: Final answer
    x = 386.32

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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.