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Finding the Fourth Proportional to 487.06, 671.79 and 310.08

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Solution

The fourth proportional to 487.06, 671.79 and 310.08 is: 427.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.06 : 671.79 = 310.08 : x
  2. Step 2: Convert to fraction form
    487.06/671.79 = 310.08/x
  3. Step 3: Cross multiply
    487.06x = 671.79 × 310.08
  4. Step 4: Simplify right side
    487.06x = 208,308.64
  5. Step 5: Solve for x
    x = 208,308.64/487.06
  6. Step 6: Final answer
    x = 427.69

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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.