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Finding the Fourth Proportional to 289.02, 431.29 and 258.26

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Solution

The fourth proportional to 289.02, 431.29 and 258.26 is: 385.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.02 : 431.29 = 258.26 : x
  2. Step 2: Convert to fraction form
    289.02/431.29 = 258.26/x
  3. Step 3: Cross multiply
    289.02x = 431.29 × 258.26
  4. Step 4: Simplify right side
    289.02x = 111,382.80
  5. Step 5: Solve for x
    x = 111,382.80/289.02
  6. Step 6: Final answer
    x = 385.38

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.