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Finding the Fourth Proportional to 452.93, 678.60 and 356.05

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Solution

The fourth proportional to 452.93, 678.60 and 356.05 is: 533.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.93 : 678.60 = 356.05 : x
  2. Step 2: Convert to fraction form
    452.93/678.60 = 356.05/x
  3. Step 3: Cross multiply
    452.93x = 678.60 × 356.05
  4. Step 4: Simplify right side
    452.93x = 241,615.53
  5. Step 5: Solve for x
    x = 241,615.53/452.93
  6. Step 6: Final answer
    x = 533.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.