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Finding the Fourth Proportional to 670.48, 1,005.87 and 208.32

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Solution

The fourth proportional to 670.48, 1,005.87 and 208.32 is: 312.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.48 : 1,005.87 = 208.32 : x
  2. Step 2: Convert to fraction form
    670.48/1,005.87 = 208.32/x
  3. Step 3: Cross multiply
    670.48x = 1,005.87 × 208.32
  4. Step 4: Simplify right side
    670.48x = 209,544.33
  5. Step 5: Solve for x
    x = 209,544.33/670.48
  6. Step 6: Final answer
    x = 312.53

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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.