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Finding the Fourth Proportional to 465.06, 697.62 and 419.16

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Solution

The fourth proportional to 465.06, 697.62 and 419.16 is: 628.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.06 : 697.62 = 419.16 : x
  2. Step 2: Convert to fraction form
    465.06/697.62 = 419.16/x
  3. Step 3: Cross multiply
    465.06x = 697.62 × 419.16
  4. Step 4: Simplify right side
    465.06x = 292,414.40
  5. Step 5: Solve for x
    x = 292,414.40/465.06
  6. Step 6: Final answer
    x = 628.77

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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.