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Finding the Fourth Proportional to 458.36, 632.64 and 292.54

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Solution

The fourth proportional to 458.36, 632.64 and 292.54 is: 403.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.36 : 632.64 = 292.54 : x
  2. Step 2: Convert to fraction form
    458.36/632.64 = 292.54/x
  3. Step 3: Cross multiply
    458.36x = 632.64 × 292.54
  4. Step 4: Simplify right side
    458.36x = 185,072.51
  5. Step 5: Solve for x
    x = 185,072.51/458.36
  6. Step 6: Final answer
    x = 403.77

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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.