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Finding the Fourth Proportional to 458.02, 631.24 and 333.48

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Solution

The fourth proportional to 458.02, 631.24 and 333.48 is: 459.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.02 : 631.24 = 333.48 : x
  2. Step 2: Convert to fraction form
    458.02/631.24 = 333.48/x
  3. Step 3: Cross multiply
    458.02x = 631.24 × 333.48
  4. Step 4: Simplify right side
    458.02x = 210,509.32
  5. Step 5: Solve for x
    x = 210,509.32/458.02
  6. Step 6: Final answer
    x = 459.61

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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.