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Finding the Fourth Proportional to 458.83, 633.11 and 259.66

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Solution

The fourth proportional to 458.83, 633.11 and 259.66 is: 358.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.83 : 633.11 = 259.66 : x
  2. Step 2: Convert to fraction form
    458.83/633.11 = 259.66/x
  3. Step 3: Cross multiply
    458.83x = 633.11 × 259.66
  4. Step 4: Simplify right side
    458.83x = 164,392.04
  5. Step 5: Solve for x
    x = 164,392.04/458.83
  6. Step 6: Final answer
    x = 358.29

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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.