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Finding the Fourth Proportional to 413.64, 570.56 and 256.36

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Solution

The fourth proportional to 413.64, 570.56 and 256.36 is: 353.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.64 : 570.56 = 256.36 : x
  2. Step 2: Convert to fraction form
    413.64/570.56 = 256.36/x
  3. Step 3: Cross multiply
    413.64x = 570.56 × 256.36
  4. Step 4: Simplify right side
    413.64x = 146,268.76
  5. Step 5: Solve for x
    x = 146,268.76/413.64
  6. Step 6: Final answer
    x = 353.61

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Why These Related Problems?

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