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Finding the Fourth Proportional to 428.08, 590.45 and 413.79

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Solution

The fourth proportional to 428.08, 590.45 and 413.79 is: 570.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.08 : 590.45 = 413.79 : x
  2. Step 2: Convert to fraction form
    428.08/590.45 = 413.79/x
  3. Step 3: Cross multiply
    428.08x = 590.45 × 413.79
  4. Step 4: Simplify right side
    428.08x = 244,322.31
  5. Step 5: Solve for x
    x = 244,322.31/428.08
  6. Step 6: Final answer
    x = 570.74

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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.