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Finding the Fourth Proportional to 465.55, 697.74 and 416.53

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Solution

The fourth proportional to 465.55, 697.74 and 416.53 is: 624.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.55 : 697.74 = 416.53 : x
  2. Step 2: Convert to fraction form
    465.55/697.74 = 416.53/x
  3. Step 3: Cross multiply
    465.55x = 697.74 × 416.53
  4. Step 4: Simplify right side
    465.55x = 290,629.64
  5. Step 5: Solve for x
    x = 290,629.64/465.55
  6. Step 6: Final answer
    x = 624.27

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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.