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Finding the Fourth Proportional to 288.63, 430.34 and 279.59

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Solution

The fourth proportional to 288.63, 430.34 and 279.59 is: 416.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.63 : 430.34 = 279.59 : x
  2. Step 2: Convert to fraction form
    288.63/430.34 = 279.59/x
  3. Step 3: Cross multiply
    288.63x = 430.34 × 279.59
  4. Step 4: Simplify right side
    288.63x = 120,315.21
  5. Step 5: Solve for x
    x = 120,315.21/288.63
  6. Step 6: Final answer
    x = 416.85

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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.