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Finding the Fourth Proportional to 356.54, 535.62 and 288.92

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Solution

The fourth proportional to 356.54, 535.62 and 288.92 is: 434.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.54 : 535.62 = 288.92 : x
  2. Step 2: Convert to fraction form
    356.54/535.62 = 288.92/x
  3. Step 3: Cross multiply
    356.54x = 535.62 × 288.92
  4. Step 4: Simplify right side
    356.54x = 154,751.33
  5. Step 5: Solve for x
    x = 154,751.33/356.54
  6. Step 6: Final answer
    x = 434.04

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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.