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Finding the Fourth Proportional to 707.94, 976.68 and 413.10

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Solution

The fourth proportional to 707.94, 976.68 and 413.10 is: 569.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.94 : 976.68 = 413.10 : x
  2. Step 2: Convert to fraction form
    707.94/976.68 = 413.10/x
  3. Step 3: Cross multiply
    707.94x = 976.68 × 413.10
  4. Step 4: Simplify right side
    707.94x = 403,466.51
  5. Step 5: Solve for x
    x = 403,466.51/707.94
  6. Step 6: Final answer
    x = 569.92

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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.