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Finding the Fourth Proportional to 413.02, 569.70 and 257.76

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Solution

The fourth proportional to 413.02, 569.70 and 257.76 is: 355.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.02 : 569.70 = 257.76 : x
  2. Step 2: Convert to fraction form
    413.02/569.70 = 257.76/x
  3. Step 3: Cross multiply
    413.02x = 569.70 × 257.76
  4. Step 4: Simplify right side
    413.02x = 146,845.87
  5. Step 5: Solve for x
    x = 146,845.87/413.02
  6. Step 6: Final answer
    x = 355.54

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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.