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Finding the Fourth Proportional to 288.09, 430.11 and 286.07

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Solution

The fourth proportional to 288.09, 430.11 and 286.07 is: 427.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.09 : 430.11 = 286.07 : x
  2. Step 2: Convert to fraction form
    288.09/430.11 = 286.07/x
  3. Step 3: Cross multiply
    288.09x = 430.11 × 286.07
  4. Step 4: Simplify right side
    288.09x = 123,039.42
  5. Step 5: Solve for x
    x = 123,039.42/288.09
  6. Step 6: Final answer
    x = 427.09

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Why These Related Problems?

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