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Finding the Fourth Proportional to 548.49, 756.84 and 312.46

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Solution

The fourth proportional to 548.49, 756.84 and 312.46 is: 431.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.49 : 756.84 = 312.46 : x
  2. Step 2: Convert to fraction form
    548.49/756.84 = 312.46/x
  3. Step 3: Cross multiply
    548.49x = 756.84 × 312.46
  4. Step 4: Simplify right side
    548.49x = 236,482.23
  5. Step 5: Solve for x
    x = 236,482.23/548.49
  6. Step 6: Final answer
    x = 431.15

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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.