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Finding the Fourth Proportional to 359.10, 495.95 and 320.47

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Solution

The fourth proportional to 359.10, 495.95 and 320.47 is: 442.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.10 : 495.95 = 320.47 : x
  2. Step 2: Convert to fraction form
    359.10/495.95 = 320.47/x
  3. Step 3: Cross multiply
    359.10x = 495.95 × 320.47
  4. Step 4: Simplify right side
    359.10x = 158,934.25
  5. Step 5: Solve for x
    x = 158,934.25/359.10
  6. Step 6: Final answer
    x = 442.59

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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.