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Finding the Fourth Proportional to 670.69, 925.95 and 438.22

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Solution

The fourth proportional to 670.69, 925.95 and 438.22 is: 605.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.69 : 925.95 = 438.22 : x
  2. Step 2: Convert to fraction form
    670.69/925.95 = 438.22/x
  3. Step 3: Cross multiply
    670.69x = 925.95 × 438.22
  4. Step 4: Simplify right side
    670.69x = 405,769.14
  5. Step 5: Solve for x
    x = 405,769.14/670.69
  6. Step 6: Final answer
    x = 605.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.