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Finding the Fourth Proportional to 531.48, 733.43 and 307.41

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Solution

The fourth proportional to 531.48, 733.43 and 307.41 is: 424.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.48 : 733.43 = 307.41 : x
  2. Step 2: Convert to fraction form
    531.48/733.43 = 307.41/x
  3. Step 3: Cross multiply
    531.48x = 733.43 × 307.41
  4. Step 4: Simplify right side
    531.48x = 225,462.18
  5. Step 5: Solve for x
    x = 225,462.18/531.48
  6. Step 6: Final answer
    x = 424.22

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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.