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Finding the Fourth Proportional to 413.70, 570.73 and 256.29

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Solution

The fourth proportional to 413.70, 570.73 and 256.29 is: 353.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.70 : 570.73 = 256.29 : x
  2. Step 2: Convert to fraction form
    413.70/570.73 = 256.29/x
  3. Step 3: Cross multiply
    413.70x = 570.73 × 256.29
  4. Step 4: Simplify right side
    413.70x = 146,271.11
  5. Step 5: Solve for x
    x = 146,271.11/413.70
  6. Step 6: Final answer
    x = 353.57

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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.