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Finding the Fourth Proportional to 707.43, 976.10 and 412.70

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Solution

The fourth proportional to 707.43, 976.10 and 412.70 is: 569.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.43 : 976.10 = 412.70 : x
  2. Step 2: Convert to fraction form
    707.43/976.10 = 412.70/x
  3. Step 3: Cross multiply
    707.43x = 976.10 × 412.70
  4. Step 4: Simplify right side
    707.43x = 402,831.85
  5. Step 5: Solve for x
    x = 402,831.85/707.43
  6. Step 6: Final answer
    x = 569.43

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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.