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Finding the Fourth Proportional to 458.00, 632.24 and 292.43

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Solution

The fourth proportional to 458.00, 632.24 and 292.43 is: 403.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.00 : 632.24 = 292.43 : x
  2. Step 2: Convert to fraction form
    458.00/632.24 = 292.43/x
  3. Step 3: Cross multiply
    458.00x = 632.24 × 292.43
  4. Step 4: Simplify right side
    458.00x = 184,886.06
  5. Step 5: Solve for x
    x = 184,886.06/458.00
  6. Step 6: Final answer
    x = 403.69

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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.