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Finding the Fourth Proportional to 289.68, 431.38 and 288.87

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Solution

The fourth proportional to 289.68, 431.38 and 288.87 is: 430.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.68 : 431.38 = 288.87 : x
  2. Step 2: Convert to fraction form
    289.68/431.38 = 288.87/x
  3. Step 3: Cross multiply
    289.68x = 431.38 × 288.87
  4. Step 4: Simplify right side
    289.68x = 124,612.02
  5. Step 5: Solve for x
    x = 124,612.02/289.68
  6. Step 6: Final answer
    x = 430.17

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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.