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Finding the Fourth Proportional to 413.32, 570.90 and 340.42

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Solution

The fourth proportional to 413.32, 570.90 and 340.42 is: 470.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.32 : 570.90 = 340.42 : x
  2. Step 2: Convert to fraction form
    413.32/570.90 = 340.42/x
  3. Step 3: Cross multiply
    413.32x = 570.90 × 340.42
  4. Step 4: Simplify right side
    413.32x = 194,345.78
  5. Step 5: Solve for x
    x = 194,345.78/413.32
  6. Step 6: Final answer
    x = 470.21

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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.