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Finding the Fourth Proportional to 707.92, 977.04 and 413.36

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Solution

The fourth proportional to 707.92, 977.04 and 413.36 is: 570.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.92 : 977.04 = 413.36 : x
  2. Step 2: Convert to fraction form
    707.92/977.04 = 413.36/x
  3. Step 3: Cross multiply
    707.92x = 977.04 × 413.36
  4. Step 4: Simplify right side
    707.92x = 403,869.25
  5. Step 5: Solve for x
    x = 403,869.25/707.92
  6. Step 6: Final answer
    x = 570.50

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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.