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Finding the Fourth Proportional to 437.16, 655.90 and 209

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Solution

The fourth proportional to 437.16, 655.90 and 209 is: 313.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.16 : 655.90 = 209 : x
  2. Step 2: Convert to fraction form
    437.16/655.90 = 209/x
  3. Step 3: Cross multiply
    437.16x = 655.90 × 209
  4. Step 4: Simplify right side
    437.16x = 137,083.10
  5. Step 5: Solve for x
    x = 137,083.10/437.16
  6. Step 6: Final answer
    x = 313.58

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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.