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Finding the Fourth Proportional to 486.75, 671.38 and 312.01

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Solution

The fourth proportional to 486.75, 671.38 and 312.01 is: 430.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.75 : 671.38 = 312.01 : x
  2. Step 2: Convert to fraction form
    486.75/671.38 = 312.01/x
  3. Step 3: Cross multiply
    486.75x = 671.38 × 312.01
  4. Step 4: Simplify right side
    486.75x = 209,477.27
  5. Step 5: Solve for x
    x = 209,477.27/486.75
  6. Step 6: Final answer
    x = 430.36

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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.