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Finding the Fourth Proportional to 465.95, 698.93 and 374.21

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Solution

The fourth proportional to 465.95, 698.93 and 374.21 is: 561.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.95 : 698.93 = 374.21 : x
  2. Step 2: Convert to fraction form
    465.95/698.93 = 374.21/x
  3. Step 3: Cross multiply
    465.95x = 698.93 × 374.21
  4. Step 4: Simplify right side
    465.95x = 261,549.28
  5. Step 5: Solve for x
    x = 261,549.28/465.95
  6. Step 6: Final answer
    x = 561.33

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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.