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Finding the Fourth Proportional to 439.90, 607.10 and 413.63

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Solution

The fourth proportional to 439.90, 607.10 and 413.63 is: 570.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.90 : 607.10 = 413.63 : x
  2. Step 2: Convert to fraction form
    439.90/607.10 = 413.63/x
  3. Step 3: Cross multiply
    439.90x = 607.10 × 413.63
  4. Step 4: Simplify right side
    439.90x = 251,114.77
  5. Step 5: Solve for x
    x = 251,114.77/439.90
  6. Step 6: Final answer
    x = 570.85

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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.