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Finding the Fourth Proportional to 471.95, 651.62 and 361.23

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Solution

The fourth proportional to 471.95, 651.62 and 361.23 is: 498.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.95 : 651.62 = 361.23 : x
  2. Step 2: Convert to fraction form
    471.95/651.62 = 361.23/x
  3. Step 3: Cross multiply
    471.95x = 651.62 × 361.23
  4. Step 4: Simplify right side
    471.95x = 235,386.68
  5. Step 5: Solve for x
    x = 235,386.68/471.95
  6. Step 6: Final answer
    x = 498.75

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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.