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Finding the Fourth Proportional to 359.87, 535.48 and 358.65

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Solution

The fourth proportional to 359.87, 535.48 and 358.65 is: 533.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.87 : 535.48 = 358.65 : x
  2. Step 2: Convert to fraction form
    359.87/535.48 = 358.65/x
  3. Step 3: Cross multiply
    359.87x = 535.48 × 358.65
  4. Step 4: Simplify right side
    359.87x = 192,049.01
  5. Step 5: Solve for x
    x = 192,049.01/359.87
  6. Step 6: Final answer
    x = 533.67

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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.