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Finding the Fourth Proportional to 605.25, 907.30 and 214.98

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Solution

The fourth proportional to 605.25, 907.30 and 214.98 is: 322.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.25 : 907.30 = 214.98 : x
  2. Step 2: Convert to fraction form
    605.25/907.30 = 214.98/x
  3. Step 3: Cross multiply
    605.25x = 907.30 × 214.98
  4. Step 4: Simplify right side
    605.25x = 195,051.35
  5. Step 5: Solve for x
    x = 195,051.35/605.25
  6. Step 6: Final answer
    x = 322.27

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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.