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Finding the Fourth Proportional to 708.12, 977.40 and 413.51

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Solution

The fourth proportional to 708.12, 977.40 and 413.51 is: 570.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.12 : 977.40 = 413.51 : x
  2. Step 2: Convert to fraction form
    708.12/977.40 = 413.51/x
  3. Step 3: Cross multiply
    708.12x = 977.40 × 413.51
  4. Step 4: Simplify right side
    708.12x = 404,159.79
  5. Step 5: Solve for x
    x = 404,159.79/708.12
  6. Step 6: Final answer
    x = 570.75

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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.