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Finding the Fourth Proportional to 707.43, 975.78 and 412.41

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Solution

The fourth proportional to 707.43, 975.78 and 412.41 is: 568.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.43 : 975.78 = 412.41 : x
  2. Step 2: Convert to fraction form
    707.43/975.78 = 412.41/x
  3. Step 3: Cross multiply
    707.43x = 975.78 × 412.41
  4. Step 4: Simplify right side
    707.43x = 402,421.43
  5. Step 5: Solve for x
    x = 402,421.43/707.43
  6. Step 6: Final answer
    x = 568.85

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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.