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Finding the Fourth Proportional to 507.53, 699.44 and 413.98

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Solution

The fourth proportional to 507.53, 699.44 and 413.98 is: 570.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.53 : 699.44 = 413.98 : x
  2. Step 2: Convert to fraction form
    507.53/699.44 = 413.98/x
  3. Step 3: Cross multiply
    507.53x = 699.44 × 413.98
  4. Step 4: Simplify right side
    507.53x = 289,550.35
  5. Step 5: Solve for x
    x = 289,550.35/507.53
  6. Step 6: Final answer
    x = 570.51

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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.