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Finding the Fourth Proportional to 458.12, 630.36 and 364.52

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Solution

The fourth proportional to 458.12, 630.36 and 364.52 is: 501.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.12 : 630.36 = 364.52 : x
  2. Step 2: Convert to fraction form
    458.12/630.36 = 364.52/x
  3. Step 3: Cross multiply
    458.12x = 630.36 × 364.52
  4. Step 4: Simplify right side
    458.12x = 229,778.83
  5. Step 5: Solve for x
    x = 229,778.83/458.12
  6. Step 6: Final answer
    x = 501.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.