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Finding the Fourth Proportional to 548.76, 757.16 and 315.76

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Solution

The fourth proportional to 548.76, 757.16 and 315.76 is: 435.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.76 : 757.16 = 315.76 : x
  2. Step 2: Convert to fraction form
    548.76/757.16 = 315.76/x
  3. Step 3: Cross multiply
    548.76x = 757.16 × 315.76
  4. Step 4: Simplify right side
    548.76x = 239,080.84
  5. Step 5: Solve for x
    x = 239,080.84/548.76
  6. Step 6: Final answer
    x = 435.67

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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.