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Finding the Fourth Proportional to 435.78, 651.11 and 357.85

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Solution

The fourth proportional to 435.78, 651.11 and 357.85 is: 534.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.78 : 651.11 = 357.85 : x
  2. Step 2: Convert to fraction form
    435.78/651.11 = 357.85/x
  3. Step 3: Cross multiply
    435.78x = 651.11 × 357.85
  4. Step 4: Simplify right side
    435.78x = 232,998.74
  5. Step 5: Solve for x
    x = 232,998.74/435.78
  6. Step 6: Final answer
    x = 534.67

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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.