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Finding the Fourth Proportional to 707.24, 975.96 and 412.49

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Solution

The fourth proportional to 707.24, 975.96 and 412.49 is: 569.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.24 : 975.96 = 412.49 : x
  2. Step 2: Convert to fraction form
    707.24/975.96 = 412.49/x
  3. Step 3: Cross multiply
    707.24x = 975.96 × 412.49
  4. Step 4: Simplify right side
    707.24x = 402,573.74
  5. Step 5: Solve for x
    x = 402,573.74/707.24
  6. Step 6: Final answer
    x = 569.22

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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.