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Finding the Fourth Proportional to 458.72, 633.05 and 259.57

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Solution

The fourth proportional to 458.72, 633.05 and 259.57 is: 358.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.72 : 633.05 = 259.57 : x
  2. Step 2: Convert to fraction form
    458.72/633.05 = 259.57/x
  3. Step 3: Cross multiply
    458.72x = 633.05 × 259.57
  4. Step 4: Simplify right side
    458.72x = 164,317.69
  5. Step 5: Solve for x
    x = 164,317.69/458.72
  6. Step 6: Final answer
    x = 358.21

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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.