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Finding the Fourth Proportional to 548.88, 757.58 and 316.14

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Solution

The fourth proportional to 548.88, 757.58 and 316.14 is: 436.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.88 : 757.58 = 316.14 : x
  2. Step 2: Convert to fraction form
    548.88/757.58 = 316.14/x
  3. Step 3: Cross multiply
    548.88x = 757.58 × 316.14
  4. Step 4: Simplify right side
    548.88x = 239,501.34
  5. Step 5: Solve for x
    x = 239,501.34/548.88
  6. Step 6: Final answer
    x = 436.35

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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.