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Finding the Fourth Proportional to 665.16, 918.18 and 490.20

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Solution

The fourth proportional to 665.16, 918.18 and 490.20 is: 676.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.16 : 918.18 = 490.20 : x
  2. Step 2: Convert to fraction form
    665.16/918.18 = 490.20/x
  3. Step 3: Cross multiply
    665.16x = 918.18 × 490.20
  4. Step 4: Simplify right side
    665.16x = 450,091.84
  5. Step 5: Solve for x
    x = 450,091.84/665.16
  6. Step 6: Final answer
    x = 676.67

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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.