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Finding the Fourth Proportional to 536.90, 803.98 and 330.86

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Solution

The fourth proportional to 536.90, 803.98 and 330.86 is: 495.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.90 : 803.98 = 330.86 : x
  2. Step 2: Convert to fraction form
    536.90/803.98 = 330.86/x
  3. Step 3: Cross multiply
    536.90x = 803.98 × 330.86
  4. Step 4: Simplify right side
    536.90x = 266,004.82
  5. Step 5: Solve for x
    x = 266,004.82/536.90
  6. Step 6: Final answer
    x = 495.45

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