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Finding the Fourth Proportional to 458.24, 631.71 and 365.27

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Solution

The fourth proportional to 458.24, 631.71 and 365.27 is: 503.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.24 : 631.71 = 365.27 : x
  2. Step 2: Convert to fraction form
    458.24/631.71 = 365.27/x
  3. Step 3: Cross multiply
    458.24x = 631.71 × 365.27
  4. Step 4: Simplify right side
    458.24x = 230,741.55
  5. Step 5: Solve for x
    x = 230,741.55/458.24
  6. Step 6: Final answer
    x = 503.54

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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.