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Finding the Fourth Proportional to 531.12, 796.80 and 242.40

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Solution

The fourth proportional to 531.12, 796.80 and 242.40 is: 363.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.12 : 796.80 = 242.40 : x
  2. Step 2: Convert to fraction form
    531.12/796.80 = 242.40/x
  3. Step 3: Cross multiply
    531.12x = 796.80 × 242.40
  4. Step 4: Simplify right side
    531.12x = 193,144.32
  5. Step 5: Solve for x
    x = 193,144.32/531.12
  6. Step 6: Final answer
    x = 363.65

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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.