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Finding the Fourth Proportional to 604.92, 907.20 and 214.80

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Solution

The fourth proportional to 604.92, 907.20 and 214.80 is: 322.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.92 : 907.20 = 214.80 : x
  2. Step 2: Convert to fraction form
    604.92/907.20 = 214.80/x
  3. Step 3: Cross multiply
    604.92x = 907.20 × 214.80
  4. Step 4: Simplify right side
    604.92x = 194,866.56
  5. Step 5: Solve for x
    x = 194,866.56/604.92
  6. Step 6: Final answer
    x = 322.14

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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.