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Finding the Fourth Proportional to 562.49, 776.12 and 413.35

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Solution

The fourth proportional to 562.49, 776.12 and 413.35 is: 570.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.49 : 776.12 = 413.35 : x
  2. Step 2: Convert to fraction form
    562.49/776.12 = 413.35/x
  3. Step 3: Cross multiply
    562.49x = 776.12 × 413.35
  4. Step 4: Simplify right side
    562.49x = 320,810.24
  5. Step 5: Solve for x
    x = 320,810.24/562.49
  6. Step 6: Final answer
    x = 570.34

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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.