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Finding the Fourth Proportional to 706.81, 975.52 and 412.22

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Solution

The fourth proportional to 706.81, 975.52 and 412.22 is: 568.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.81 : 975.52 = 412.22 : x
  2. Step 2: Convert to fraction form
    706.81/975.52 = 412.22/x
  3. Step 3: Cross multiply
    706.81x = 975.52 × 412.22
  4. Step 4: Simplify right side
    706.81x = 402,130.65
  5. Step 5: Solve for x
    x = 402,130.65/706.81
  6. Step 6: Final answer
    x = 568.94

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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.