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Finding the Fourth Proportional to 531.54, 798.09 and 288.54

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Solution

The fourth proportional to 531.54, 798.09 and 288.54 is: 433.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.54 : 798.09 = 288.54 : x
  2. Step 2: Convert to fraction form
    531.54/798.09 = 288.54/x
  3. Step 3: Cross multiply
    531.54x = 798.09 × 288.54
  4. Step 4: Simplify right side
    531.54x = 230,280.89
  5. Step 5: Solve for x
    x = 230,280.89/531.54
  6. Step 6: Final answer
    x = 433.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.