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Finding the Fourth Proportional to 413.68, 570.84 and 256.36

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Solution

The fourth proportional to 413.68, 570.84 and 256.36 is: 353.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.68 : 570.84 = 256.36 : x
  2. Step 2: Convert to fraction form
    413.68/570.84 = 256.36/x
  3. Step 3: Cross multiply
    413.68x = 570.84 × 256.36
  4. Step 4: Simplify right side
    413.68x = 146,340.54
  5. Step 5: Solve for x
    x = 146,340.54/413.68
  6. Step 6: Final answer
    x = 353.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.