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Finding the Fourth Proportional to 413.78, 570.78 and 256.30

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Solution

The fourth proportional to 413.78, 570.78 and 256.30 is: 353.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.78 : 570.78 = 256.30 : x
  2. Step 2: Convert to fraction form
    413.78/570.78 = 256.30/x
  3. Step 3: Cross multiply
    413.78x = 570.78 × 256.30
  4. Step 4: Simplify right side
    413.78x = 146,289.49
  5. Step 5: Solve for x
    x = 146,289.49/413.78
  6. Step 6: Final answer
    x = 353.55

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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.