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Finding the Fourth Proportional to 458.15, 632.14 and 292.57

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Solution

The fourth proportional to 458.15, 632.14 and 292.57 is: 403.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.15 : 632.14 = 292.57 : x
  2. Step 2: Convert to fraction form
    458.15/632.14 = 292.57/x
  3. Step 3: Cross multiply
    458.15x = 632.14 × 292.57
  4. Step 4: Simplify right side
    458.15x = 184,942.89
  5. Step 5: Solve for x
    x = 184,942.89/458.15
  6. Step 6: Final answer
    x = 403.68

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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.