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Finding the Fourth Proportional to 675.33, 931.66 and 427.06

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Solution

The fourth proportional to 675.33, 931.66 and 427.06 is: 589.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.33 : 931.66 = 427.06 : x
  2. Step 2: Convert to fraction form
    675.33/931.66 = 427.06/x
  3. Step 3: Cross multiply
    675.33x = 931.66 × 427.06
  4. Step 4: Simplify right side
    675.33x = 397,874.72
  5. Step 5: Solve for x
    x = 397,874.72/675.33
  6. Step 6: Final answer
    x = 589.16

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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.