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Finding the Fourth Proportional to 531.81, 798.03 and 288.33

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Solution

The fourth proportional to 531.81, 798.03 and 288.33 is: 432.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.81 : 798.03 = 288.33 : x
  2. Step 2: Convert to fraction form
    531.81/798.03 = 288.33/x
  3. Step 3: Cross multiply
    531.81x = 798.03 × 288.33
  4. Step 4: Simplify right side
    531.81x = 230,095.99
  5. Step 5: Solve for x
    x = 230,095.99/531.81
  6. Step 6: Final answer
    x = 432.67

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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.