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Finding the Fourth Proportional to 453.42, 625.35 and 278.70

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Solution

The fourth proportional to 453.42, 625.35 and 278.70 is: 384.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.42 : 625.35 = 278.70 : x
  2. Step 2: Convert to fraction form
    453.42/625.35 = 278.70/x
  3. Step 3: Cross multiply
    453.42x = 625.35 × 278.70
  4. Step 4: Simplify right side
    453.42x = 174,285.05
  5. Step 5: Solve for x
    x = 174,285.05/453.42
  6. Step 6: Final answer
    x = 384.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.