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Finding the Fourth Proportional to 292.44, 435.03 and 282.84

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Solution

The fourth proportional to 292.44, 435.03 and 282.84 is: 420.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.44 : 435.03 = 282.84 : x
  2. Step 2: Convert to fraction form
    292.44/435.03 = 282.84/x
  3. Step 3: Cross multiply
    292.44x = 435.03 × 282.84
  4. Step 4: Simplify right side
    292.44x = 123,043.89
  5. Step 5: Solve for x
    x = 123,043.89/292.44
  6. Step 6: Final answer
    x = 420.75

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.