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Finding the Fourth Proportional to 458.44, 632.33 and 365.02

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Solution

The fourth proportional to 458.44, 632.33 and 365.02 is: 503.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.44 : 632.33 = 365.02 : x
  2. Step 2: Convert to fraction form
    458.44/632.33 = 365.02/x
  3. Step 3: Cross multiply
    458.44x = 632.33 × 365.02
  4. Step 4: Simplify right side
    458.44x = 230,813.10
  5. Step 5: Solve for x
    x = 230,813.10/458.44
  6. Step 6: Final answer
    x = 503.48

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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.