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Finding the Fourth Proportional to 465.09, 697.39 and 412.45

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Solution

The fourth proportional to 465.09, 697.39 and 412.45 is: 618.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.09 : 697.39 = 412.45 : x
  2. Step 2: Convert to fraction form
    465.09/697.39 = 412.45/x
  3. Step 3: Cross multiply
    465.09x = 697.39 × 412.45
  4. Step 4: Simplify right side
    465.09x = 287,638.51
  5. Step 5: Solve for x
    x = 287,638.51/465.09
  6. Step 6: Final answer
    x = 618.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.