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Finding the Fourth Proportional to 356.40, 535.41 and 295.65

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Solution

The fourth proportional to 356.40, 535.41 and 295.65 is: 444.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.40 : 535.41 = 295.65 : x
  2. Step 2: Convert to fraction form
    356.40/535.41 = 295.65/x
  3. Step 3: Cross multiply
    356.40x = 535.41 × 295.65
  4. Step 4: Simplify right side
    356.40x = 158,293.97
  5. Step 5: Solve for x
    x = 158,293.97/356.40
  6. Step 6: Final answer
    x = 444.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.