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Finding the Fourth Proportional to 365.52, 544.92 and 348.24

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Solution

The fourth proportional to 365.52, 544.92 and 348.24 is: 519.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.52 : 544.92 = 348.24 : x
  2. Step 2: Convert to fraction form
    365.52/544.92 = 348.24/x
  3. Step 3: Cross multiply
    365.52x = 544.92 × 348.24
  4. Step 4: Simplify right side
    365.52x = 189,762.94
  5. Step 5: Solve for x
    x = 189,762.94/365.52
  6. Step 6: Final answer
    x = 519.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.