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Finding the Fourth Proportional to 289.34, 434.00 and 72.90

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Solution

The fourth proportional to 289.34, 434.00 and 72.90 is: 109.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.34 : 434.00 = 72.90 : x
  2. Step 2: Convert to fraction form
    289.34/434.00 = 72.90/x
  3. Step 3: Cross multiply
    289.34x = 434.00 × 72.90
  4. Step 4: Simplify right side
    289.34x = 31,638.24
  5. Step 5: Solve for x
    x = 31,638.24/289.34
  6. Step 6: Final answer
    x = 109.35

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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.