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Finding the Fourth Proportional to 671.59, 1,007.54 and 363.72

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Solution

The fourth proportional to 671.59, 1,007.54 and 363.72 is: 545.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.59 : 1,007.54 = 363.72 : x
  2. Step 2: Convert to fraction form
    671.59/1,007.54 = 363.72/x
  3. Step 3: Cross multiply
    671.59x = 1,007.54 × 363.72
  4. Step 4: Simplify right side
    671.59x = 366,465.77
  5. Step 5: Solve for x
    x = 366,465.77/671.59
  6. Step 6: Final answer
    x = 545.67

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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.