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Finding the Fourth Proportional to 395.19, 594.92 and 355.50

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Solution

The fourth proportional to 395.19, 594.92 and 355.50 is: 535.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.19 : 594.92 = 355.50 : x
  2. Step 2: Convert to fraction form
    395.19/594.92 = 355.50/x
  3. Step 3: Cross multiply
    395.19x = 594.92 × 355.50
  4. Step 4: Simplify right side
    395.19x = 211,494.06
  5. Step 5: Solve for x
    x = 211,494.06/395.19
  6. Step 6: Final answer
    x = 535.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.