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Finding the Fourth Proportional to 531.28, 734.06 and 421.71

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Solution

The fourth proportional to 531.28, 734.06 and 421.71 is: 582.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.28 : 734.06 = 421.71 : x
  2. Step 2: Convert to fraction form
    531.28/734.06 = 421.71/x
  3. Step 3: Cross multiply
    531.28x = 734.06 × 421.71
  4. Step 4: Simplify right side
    531.28x = 309,558.74
  5. Step 5: Solve for x
    x = 309,558.74/531.28
  6. Step 6: Final answer
    x = 582.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.