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Finding the Fourth Proportional to 413.48, 619.77 and 207.64

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Solution

The fourth proportional to 413.48, 619.77 and 207.64 is: 311.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.48 : 619.77 = 207.64 : x
  2. Step 2: Convert to fraction form
    413.48/619.77 = 207.64/x
  3. Step 3: Cross multiply
    413.48x = 619.77 × 207.64
  4. Step 4: Simplify right side
    413.48x = 128,689.04
  5. Step 5: Solve for x
    x = 128,689.04/413.48
  6. Step 6: Final answer
    x = 311.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.