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Finding the Fourth Proportional to 673.16, 1,009.74 and 210.98

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Solution

The fourth proportional to 673.16, 1,009.74 and 210.98 is: 316.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.16 : 1,009.74 = 210.98 : x
  2. Step 2: Convert to fraction form
    673.16/1,009.74 = 210.98/x
  3. Step 3: Cross multiply
    673.16x = 1,009.74 × 210.98
  4. Step 4: Simplify right side
    673.16x = 213,033.41
  5. Step 5: Solve for x
    x = 213,033.41/673.16
  6. Step 6: Final answer
    x = 316.47

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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.