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Finding the Fourth Proportional to 708.15, 977.30 and 413.31

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Solution

The fourth proportional to 708.15, 977.30 and 413.31 is: 570.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.15 : 977.30 = 413.31 : x
  2. Step 2: Convert to fraction form
    708.15/977.30 = 413.31/x
  3. Step 3: Cross multiply
    708.15x = 977.30 × 413.31
  4. Step 4: Simplify right side
    708.15x = 403,927.86
  5. Step 5: Solve for x
    x = 403,927.86/708.15
  6. Step 6: Final answer
    x = 570.40

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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.