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Finding the Fourth Proportional to 332.51, 499.37 and 316.10

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Solution

The fourth proportional to 332.51, 499.37 and 316.10 is: 474.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.51 : 499.37 = 316.10 : x
  2. Step 2: Convert to fraction form
    332.51/499.37 = 316.10/x
  3. Step 3: Cross multiply
    332.51x = 499.37 × 316.10
  4. Step 4: Simplify right side
    332.51x = 157,850.52
  5. Step 5: Solve for x
    x = 157,850.52/332.51
  6. Step 6: Final answer
    x = 474.73

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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.