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Finding the Fourth Proportional to 657.31, 986.19 and 292.06

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Solution

The fourth proportional to 657.31, 986.19 and 292.06 is: 438.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.31 : 986.19 = 292.06 : x
  2. Step 2: Convert to fraction form
    657.31/986.19 = 292.06/x
  3. Step 3: Cross multiply
    657.31x = 986.19 × 292.06
  4. Step 4: Simplify right side
    657.31x = 288,026.65
  5. Step 5: Solve for x
    x = 288,026.65/657.31
  6. Step 6: Final answer
    x = 438.19

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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.