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Finding the Fourth Proportional to 491.07, 736.32 and 388.05

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Solution

The fourth proportional to 491.07, 736.32 and 388.05 is: 581.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.07 : 736.32 = 388.05 : x
  2. Step 2: Convert to fraction form
    491.07/736.32 = 388.05/x
  3. Step 3: Cross multiply
    491.07x = 736.32 × 388.05
  4. Step 4: Simplify right side
    491.07x = 285,728.98
  5. Step 5: Solve for x
    x = 285,728.98/491.07
  6. Step 6: Final answer
    x = 581.85

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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.