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Finding the Fourth Proportional to 458.74, 633.27 and 293.14

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Solution

The fourth proportional to 458.74, 633.27 and 293.14 is: 404.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.74 : 633.27 = 293.14 : x
  2. Step 2: Convert to fraction form
    458.74/633.27 = 293.14/x
  3. Step 3: Cross multiply
    458.74x = 633.27 × 293.14
  4. Step 4: Simplify right side
    458.74x = 185,636.77
  5. Step 5: Solve for x
    x = 185,636.77/458.74
  6. Step 6: Final answer
    x = 404.67

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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.