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Finding the Fourth Proportional to 575.10, 859.41 and 413.10

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Solution

The fourth proportional to 575.10, 859.41 and 413.10 is: 617.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.10 : 859.41 = 413.10 : x
  2. Step 2: Convert to fraction form
    575.10/859.41 = 413.10/x
  3. Step 3: Cross multiply
    575.10x = 859.41 × 413.10
  4. Step 4: Simplify right side
    575.10x = 355,022.27
  5. Step 5: Solve for x
    x = 355,022.27/575.10
  6. Step 6: Final answer
    x = 617.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.