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Finding the Fourth Proportional to 359.10, 537.57 and 310.50

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Solution

The fourth proportional to 359.10, 537.57 and 310.50 is: 464.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.10 : 537.57 = 310.50 : x
  2. Step 2: Convert to fraction form
    359.10/537.57 = 310.50/x
  3. Step 3: Cross multiply
    359.10x = 537.57 × 310.50
  4. Step 4: Simplify right side
    359.10x = 166,915.49
  5. Step 5: Solve for x
    x = 166,915.49/359.10
  6. Step 6: Final answer
    x = 464.82

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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.