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Finding the Fourth Proportional to 707.87, 976.75 and 405.02

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Solution

The fourth proportional to 707.87, 976.75 and 405.02 is: 558.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.87 : 976.75 = 405.02 : x
  2. Step 2: Convert to fraction form
    707.87/976.75 = 405.02/x
  3. Step 3: Cross multiply
    707.87x = 976.75 × 405.02
  4. Step 4: Simplify right side
    707.87x = 395,603.29
  5. Step 5: Solve for x
    x = 395,603.29/707.87
  6. Step 6: Final answer
    x = 558.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.