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Finding the Fourth Proportional to 531.90, 733.86 and 298.98

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Solution

The fourth proportional to 531.90, 733.86 and 298.98 is: 412.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.90 : 733.86 = 298.98 : x
  2. Step 2: Convert to fraction form
    531.90/733.86 = 298.98/x
  3. Step 3: Cross multiply
    531.90x = 733.86 × 298.98
  4. Step 4: Simplify right side
    531.90x = 219,409.46
  5. Step 5: Solve for x
    x = 219,409.46/531.90
  6. Step 6: Final answer
    x = 412.50

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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.