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Finding the Fourth Proportional to 458.44, 632.54 and 292.48

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Solution

The fourth proportional to 458.44, 632.54 and 292.48 is: 403.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.44 : 632.54 = 292.48 : x
  2. Step 2: Convert to fraction form
    458.44/632.54 = 292.48/x
  3. Step 3: Cross multiply
    458.44x = 632.54 × 292.48
  4. Step 4: Simplify right side
    458.44x = 185,005.30
  5. Step 5: Solve for x
    x = 185,005.30/458.44
  6. Step 6: Final answer
    x = 403.55

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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.