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Finding the Fourth Proportional to 359.90, 495.54 and 271.50

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Solution

The fourth proportional to 359.90, 495.54 and 271.50 is: 373.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.90 : 495.54 = 271.50 : x
  2. Step 2: Convert to fraction form
    359.90/495.54 = 271.50/x
  3. Step 3: Cross multiply
    359.90x = 495.54 × 271.50
  4. Step 4: Simplify right side
    359.90x = 134,539.11
  5. Step 5: Solve for x
    x = 134,539.11/359.90
  6. Step 6: Final answer
    x = 373.83

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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.