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Finding the Fourth Proportional to 465.05, 696.99 and 416.02

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Solution

The fourth proportional to 465.05, 696.99 and 416.02 is: 623.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.05 : 696.99 = 416.02 : x
  2. Step 2: Convert to fraction form
    465.05/696.99 = 416.02/x
  3. Step 3: Cross multiply
    465.05x = 696.99 × 416.02
  4. Step 4: Simplify right side
    465.05x = 289,961.78
  5. Step 5: Solve for x
    x = 289,961.78/465.05
  6. Step 6: Final answer
    x = 623.51

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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.