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Finding the Fourth Proportional to 497.16, 744.32 and 388.62

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Solution

The fourth proportional to 497.16, 744.32 and 388.62 is: 581.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.16 : 744.32 = 388.62 : x
  2. Step 2: Convert to fraction form
    497.16/744.32 = 388.62/x
  3. Step 3: Cross multiply
    497.16x = 744.32 × 388.62
  4. Step 4: Simplify right side
    497.16x = 289,257.64
  5. Step 5: Solve for x
    x = 289,257.64/497.16
  6. Step 6: Final answer
    x = 581.82

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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.