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Finding the Fourth Proportional to 707.30, 976.13 and 412.59

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Solution

The fourth proportional to 707.30, 976.13 and 412.59 is: 569.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.30 : 976.13 = 412.59 : x
  2. Step 2: Convert to fraction form
    707.30/976.13 = 412.59/x
  3. Step 3: Cross multiply
    707.30x = 976.13 × 412.59
  4. Step 4: Simplify right side
    707.30x = 402,739.41
  5. Step 5: Solve for x
    x = 402,739.41/707.30
  6. Step 6: Final answer
    x = 569.41

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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.