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Finding the Fourth Proportional to 471.41, 651.16 and 362.23

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Solution

The fourth proportional to 471.41, 651.16 and 362.23 is: 500.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.41 : 651.16 = 362.23 : x
  2. Step 2: Convert to fraction form
    471.41/651.16 = 362.23/x
  3. Step 3: Cross multiply
    471.41x = 651.16 × 362.23
  4. Step 4: Simplify right side
    471.41x = 235,868.51
  5. Step 5: Solve for x
    x = 235,868.51/471.41
  6. Step 6: Final answer
    x = 500.35

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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.