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Finding the Fourth Proportional to 536.66, 803.48 and 371.76

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Solution

The fourth proportional to 536.66, 803.48 and 371.76 is: 556.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.66 : 803.48 = 371.76 : x
  2. Step 2: Convert to fraction form
    536.66/803.48 = 371.76/x
  3. Step 3: Cross multiply
    536.66x = 803.48 × 371.76
  4. Step 4: Simplify right side
    536.66x = 298,701.72
  5. Step 5: Solve for x
    x = 298,701.72/536.66
  6. Step 6: Final answer
    x = 556.59

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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.