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Finding the Fourth Proportional to 670.58, 1,005.74 and 208.27

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Solution

The fourth proportional to 670.58, 1,005.74 and 208.27 is: 312.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.58 : 1,005.74 = 208.27 : x
  2. Step 2: Convert to fraction form
    670.58/1,005.74 = 208.27/x
  3. Step 3: Cross multiply
    670.58x = 1,005.74 × 208.27
  4. Step 4: Simplify right side
    670.58x = 209,465.47
  5. Step 5: Solve for x
    x = 209,465.47/670.58
  6. Step 6: Final answer
    x = 312.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.