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Finding the Fourth Proportional to 707.58, 976.37 and 412.64

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Solution

The fourth proportional to 707.58, 976.37 and 412.64 is: 569.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.58 : 976.37 = 412.64 : x
  2. Step 2: Convert to fraction form
    707.58/976.37 = 412.64/x
  3. Step 3: Cross multiply
    707.58x = 976.37 × 412.64
  4. Step 4: Simplify right side
    707.58x = 402,885.47
  5. Step 5: Solve for x
    x = 402,885.47/707.58
  6. Step 6: Final answer
    x = 569.39

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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.