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Finding the Fourth Proportional to 874.94, 1,312.43 and 258.66

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Solution

The fourth proportional to 874.94, 1,312.43 and 258.66 is: 388.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.94 : 1,312.43 = 258.66 : x
  2. Step 2: Convert to fraction form
    874.94/1,312.43 = 258.66/x
  3. Step 3: Cross multiply
    874.94x = 1,312.43 × 258.66
  4. Step 4: Simplify right side
    874.94x = 339,471.85
  5. Step 5: Solve for x
    x = 339,471.85/874.94
  6. Step 6: Final answer
    x = 388.00

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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.