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Finding the Fourth Proportional to 435.78, 651.87 and 357.87

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Solution

The fourth proportional to 435.78, 651.87 and 357.87 is: 535.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.78 : 651.87 = 357.87 : x
  2. Step 2: Convert to fraction form
    435.78/651.87 = 357.87/x
  3. Step 3: Cross multiply
    435.78x = 651.87 × 357.87
  4. Step 4: Simplify right side
    435.78x = 233,282.93
  5. Step 5: Solve for x
    x = 233,282.93/435.78
  6. Step 6: Final answer
    x = 535.33

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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.