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Finding the Fourth Proportional to 604.96, 907.32 and 172.12

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Solution

The fourth proportional to 604.96, 907.32 and 172.12 is: 258.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.96 : 907.32 = 172.12 : x
  2. Step 2: Convert to fraction form
    604.96/907.32 = 172.12/x
  3. Step 3: Cross multiply
    604.96x = 907.32 × 172.12
  4. Step 4: Simplify right side
    604.96x = 156,167.92
  5. Step 5: Solve for x
    x = 156,167.92/604.96
  6. Step 6: Final answer
    x = 258.15

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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.