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Finding the Fourth Proportional to 288.96, 432.29 and 259.80

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Solution

The fourth proportional to 288.96, 432.29 and 259.80 is: 388.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.96 : 432.29 = 259.80 : x
  2. Step 2: Convert to fraction form
    288.96/432.29 = 259.80/x
  3. Step 3: Cross multiply
    288.96x = 432.29 × 259.80
  4. Step 4: Simplify right side
    288.96x = 112,308.94
  5. Step 5: Solve for x
    x = 112,308.94/288.96
  6. Step 6: Final answer
    x = 388.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.