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Finding the Fourth Proportional to 419.46, 578.64 and 262.02

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Solution

The fourth proportional to 419.46, 578.64 and 262.02 is: 361.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.46 : 578.64 = 262.02 : x
  2. Step 2: Convert to fraction form
    419.46/578.64 = 262.02/x
  3. Step 3: Cross multiply
    419.46x = 578.64 × 262.02
  4. Step 4: Simplify right side
    419.46x = 151,615.25
  5. Step 5: Solve for x
    x = 151,615.25/419.46
  6. Step 6: Final answer
    x = 361.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.