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Finding the Fourth Proportional to 378.09, 522.59 and 348.93

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Solution

The fourth proportional to 378.09, 522.59 and 348.93 is: 482.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.09 : 522.59 = 348.93 : x
  2. Step 2: Convert to fraction form
    378.09/522.59 = 348.93/x
  3. Step 3: Cross multiply
    378.09x = 522.59 × 348.93
  4. Step 4: Simplify right side
    378.09x = 182,345.58
  5. Step 5: Solve for x
    x = 182,345.58/378.09
  6. Step 6: Final answer
    x = 482.28

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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.