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Finding the Fourth Proportional to 536.68, 803.74 and 319.88

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Solution

The fourth proportional to 536.68, 803.74 and 319.88 is: 479.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.68 : 803.74 = 319.88 : x
  2. Step 2: Convert to fraction form
    536.68/803.74 = 319.88/x
  3. Step 3: Cross multiply
    536.68x = 803.74 × 319.88
  4. Step 4: Simplify right side
    536.68x = 257,100.35
  5. Step 5: Solve for x
    x = 257,100.35/536.68
  6. Step 6: Final answer
    x = 479.06

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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.