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Finding the Fourth Proportional to 707.06, 975.62 and 412.27

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Solution

The fourth proportional to 707.06, 975.62 and 412.27 is: 568.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.06 : 975.62 = 412.27 : x
  2. Step 2: Convert to fraction form
    707.06/975.62 = 412.27/x
  3. Step 3: Cross multiply
    707.06x = 975.62 × 412.27
  4. Step 4: Simplify right side
    707.06x = 402,217.45
  5. Step 5: Solve for x
    x = 402,217.45/707.06
  6. Step 6: Final answer
    x = 568.86

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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.