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Finding the Fourth Proportional to 359.52, 536.16 and 346.92

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Solution

The fourth proportional to 359.52, 536.16 and 346.92 is: 517.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.52 : 536.16 = 346.92 : x
  2. Step 2: Convert to fraction form
    359.52/536.16 = 346.92/x
  3. Step 3: Cross multiply
    359.52x = 536.16 × 346.92
  4. Step 4: Simplify right side
    359.52x = 186,004.63
  5. Step 5: Solve for x
    x = 186,004.63/359.52
  6. Step 6: Final answer
    x = 517.37

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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.