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Finding the Fourth Proportional to 706.68, 975.24 and 412.14

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Solution

The fourth proportional to 706.68, 975.24 and 412.14 is: 568.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.68 : 975.24 = 412.14 : x
  2. Step 2: Convert to fraction form
    706.68/975.24 = 412.14/x
  3. Step 3: Cross multiply
    706.68x = 975.24 × 412.14
  4. Step 4: Simplify right side
    706.68x = 401,935.41
  5. Step 5: Solve for x
    x = 401,935.41/706.68
  6. Step 6: Final answer
    x = 568.77

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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.