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Finding the Fourth Proportional to 531.03, 732.80 and 298.23

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Solution

The fourth proportional to 531.03, 732.80 and 298.23 is: 411.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.03 : 732.80 = 298.23 : x
  2. Step 2: Convert to fraction form
    531.03/732.80 = 298.23/x
  3. Step 3: Cross multiply
    531.03x = 732.80 × 298.23
  4. Step 4: Simplify right side
    531.03x = 218,541.45
  5. Step 5: Solve for x
    x = 218,541.45/531.03
  6. Step 6: Final answer
    x = 411.54

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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.