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Finding the Fourth Proportional to 531.84, 794.40 and 444.60

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Solution

The fourth proportional to 531.84, 794.40 and 444.60 is: 664.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.84 : 794.40 = 444.60 : x
  2. Step 2: Convert to fraction form
    531.84/794.40 = 444.60/x
  3. Step 3: Cross multiply
    531.84x = 794.40 × 444.60
  4. Step 4: Simplify right side
    531.84x = 353,190.24
  5. Step 5: Solve for x
    x = 353,190.24/531.84
  6. Step 6: Final answer
    x = 664.09

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Why These Related Problems?

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