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Finding the Fourth Proportional to 604.72, 907.17 and 214.77

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Solution

The fourth proportional to 604.72, 907.17 and 214.77 is: 322.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.72 : 907.17 = 214.77 : x
  2. Step 2: Convert to fraction form
    604.72/907.17 = 214.77/x
  3. Step 3: Cross multiply
    604.72x = 907.17 × 214.77
  4. Step 4: Simplify right side
    604.72x = 194,832.90
  5. Step 5: Solve for x
    x = 194,832.90/604.72
  6. Step 6: Final answer
    x = 322.19

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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.