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Finding the Fourth Proportional to 531.06, 796.29 and 242.28

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Solution

The fourth proportional to 531.06, 796.29 and 242.28 is: 363.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.06 : 796.29 = 242.28 : x
  2. Step 2: Convert to fraction form
    531.06/796.29 = 242.28/x
  3. Step 3: Cross multiply
    531.06x = 796.29 × 242.28
  4. Step 4: Simplify right side
    531.06x = 192,925.14
  5. Step 5: Solve for x
    x = 192,925.14/531.06
  6. Step 6: Final answer
    x = 363.28

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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.