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Finding the Fourth Proportional to 707.74, 976.71 and 413.08

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Solution

The fourth proportional to 707.74, 976.71 and 413.08 is: 570.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.74 : 976.71 = 413.08 : x
  2. Step 2: Convert to fraction form
    707.74/976.71 = 413.08/x
  3. Step 3: Cross multiply
    707.74x = 976.71 × 413.08
  4. Step 4: Simplify right side
    707.74x = 403,459.37
  5. Step 5: Solve for x
    x = 403,459.37/707.74
  6. Step 6: Final answer
    x = 570.07

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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.