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Finding the Fourth Proportional to 471.54, 651.07 and 332.12

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Solution

The fourth proportional to 471.54, 651.07 and 332.12 is: 458.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.54 : 651.07 = 332.12 : x
  2. Step 2: Convert to fraction form
    471.54/651.07 = 332.12/x
  3. Step 3: Cross multiply
    471.54x = 651.07 × 332.12
  4. Step 4: Simplify right side
    471.54x = 216,233.37
  5. Step 5: Solve for x
    x = 216,233.37/471.54
  6. Step 6: Final answer
    x = 458.57

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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.