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Finding the Fourth Proportional to 289.08, 432.90 and 266.52

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Solution

The fourth proportional to 289.08, 432.90 and 266.52 is: 399.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.08 : 432.90 = 266.52 : x
  2. Step 2: Convert to fraction form
    289.08/432.90 = 266.52/x
  3. Step 3: Cross multiply
    289.08x = 432.90 × 266.52
  4. Step 4: Simplify right side
    289.08x = 115,376.51
  5. Step 5: Solve for x
    x = 115,376.51/289.08
  6. Step 6: Final answer
    x = 399.12

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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.