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Finding the Fourth Proportional to 570.22, 786.14 and 413.08

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Solution

The fourth proportional to 570.22, 786.14 and 413.08 is: 569.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.22 : 786.14 = 413.08 : x
  2. Step 2: Convert to fraction form
    570.22/786.14 = 413.08/x
  3. Step 3: Cross multiply
    570.22x = 786.14 × 413.08
  4. Step 4: Simplify right side
    570.22x = 324,738.71
  5. Step 5: Solve for x
    x = 324,738.71/570.22
  6. Step 6: Final answer
    x = 569.50

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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.