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Finding the Fourth Proportional to 624.20, 931.41 and 536.72

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Solution

The fourth proportional to 624.20, 931.41 and 536.72 is: 800.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.20 : 931.41 = 536.72 : x
  2. Step 2: Convert to fraction form
    624.20/931.41 = 536.72/x
  3. Step 3: Cross multiply
    624.20x = 931.41 × 536.72
  4. Step 4: Simplify right side
    624.20x = 499,901.72
  5. Step 5: Solve for x
    x = 499,901.72/624.20
  6. Step 6: Final answer
    x = 800.87

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.