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Finding the Fourth Proportional to 458.78, 633.14 and 262.32

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Solution

The fourth proportional to 458.78, 633.14 and 262.32 is: 362.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.78 : 633.14 = 262.32 : x
  2. Step 2: Convert to fraction form
    458.78/633.14 = 262.32/x
  3. Step 3: Cross multiply
    458.78x = 633.14 × 262.32
  4. Step 4: Simplify right side
    458.78x = 166,085.28
  5. Step 5: Solve for x
    x = 166,085.28/458.78
  6. Step 6: Final answer
    x = 362.02

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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.