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Finding the Fourth Proportional to 707.54, 976.42 and 412.82

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Solution

The fourth proportional to 707.54, 976.42 and 412.82 is: 569.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.54 : 976.42 = 412.82 : x
  2. Step 2: Convert to fraction form
    707.54/976.42 = 412.82/x
  3. Step 3: Cross multiply
    707.54x = 976.42 × 412.82
  4. Step 4: Simplify right side
    707.54x = 403,085.70
  5. Step 5: Solve for x
    x = 403,085.70/707.54
  6. Step 6: Final answer
    x = 569.70

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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.