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Finding the Fourth Proportional to 332.31, 497.01 and 295.98

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Solution

The fourth proportional to 332.31, 497.01 and 295.98 is: 442.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.31 : 497.01 = 295.98 : x
  2. Step 2: Convert to fraction form
    332.31/497.01 = 295.98/x
  3. Step 3: Cross multiply
    332.31x = 497.01 × 295.98
  4. Step 4: Simplify right side
    332.31x = 147,105.02
  5. Step 5: Solve for x
    x = 147,105.02/332.31
  6. Step 6: Final answer
    x = 442.67

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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.