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Finding the Fourth Proportional to 810.33, 1,214.66 and 348.22

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Solution

The fourth proportional to 810.33, 1,214.66 and 348.22 is: 521.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.33 : 1,214.66 = 348.22 : x
  2. Step 2: Convert to fraction form
    810.33/1,214.66 = 348.22/x
  3. Step 3: Cross multiply
    810.33x = 1,214.66 × 348.22
  4. Step 4: Simplify right side
    810.33x = 422,971.29
  5. Step 5: Solve for x
    x = 422,971.29/810.33
  6. Step 6: Final answer
    x = 521.98

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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.