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Finding the Fourth Proportional to 359.87, 540.27 and 283.10

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Solution

The fourth proportional to 359.87, 540.27 and 283.10 is: 425.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.87 : 540.27 = 283.10 : x
  2. Step 2: Convert to fraction form
    359.87/540.27 = 283.10/x
  3. Step 3: Cross multiply
    359.87x = 540.27 × 283.10
  4. Step 4: Simplify right side
    359.87x = 152,950.44
  5. Step 5: Solve for x
    x = 152,950.44/359.87
  6. Step 6: Final answer
    x = 425.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.