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Finding the Fourth Proportional to 453.32, 678.96 and 277.15

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Solution

The fourth proportional to 453.32, 678.96 and 277.15 is: 415.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.32 : 678.96 = 277.15 : x
  2. Step 2: Convert to fraction form
    453.32/678.96 = 277.15/x
  3. Step 3: Cross multiply
    453.32x = 678.96 × 277.15
  4. Step 4: Simplify right side
    453.32x = 188,173.76
  5. Step 5: Solve for x
    x = 188,173.76/453.32
  6. Step 6: Final answer
    x = 415.10

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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.