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Finding the Fourth Proportional to 455.16, 628.02 and 278.12

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Solution

The fourth proportional to 455.16, 628.02 and 278.12 is: 383.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.16 : 628.02 = 278.12 : x
  2. Step 2: Convert to fraction form
    455.16/628.02 = 278.12/x
  3. Step 3: Cross multiply
    455.16x = 628.02 × 278.12
  4. Step 4: Simplify right side
    455.16x = 174,666.49
  5. Step 5: Solve for x
    x = 174,666.49/455.16
  6. Step 6: Final answer
    x = 383.74

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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.