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Finding the Fourth Proportional to 537.42, 741.93 and 482.04

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Solution

The fourth proportional to 537.42, 741.93 and 482.04 is: 665.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.42 : 741.93 = 482.04 : x
  2. Step 2: Convert to fraction form
    537.42/741.93 = 482.04/x
  3. Step 3: Cross multiply
    537.42x = 741.93 × 482.04
  4. Step 4: Simplify right side
    537.42x = 357,639.94
  5. Step 5: Solve for x
    x = 357,639.94/537.42
  6. Step 6: Final answer
    x = 665.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.