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Finding the Fourth Proportional to 359.37, 538.63 and 256.68

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Solution

The fourth proportional to 359.37, 538.63 and 256.68 is: 384.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.37 : 538.63 = 256.68 : x
  2. Step 2: Convert to fraction form
    359.37/538.63 = 256.68/x
  3. Step 3: Cross multiply
    359.37x = 538.63 × 256.68
  4. Step 4: Simplify right side
    359.37x = 138,255.55
  5. Step 5: Solve for x
    x = 138,255.55/359.37
  6. Step 6: Final answer
    x = 384.72

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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.