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Finding the Fourth Proportional to 491.72, 677.36 and 456.28

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Solution

The fourth proportional to 491.72, 677.36 and 456.28 is: 628.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.72 : 677.36 = 456.28 : x
  2. Step 2: Convert to fraction form
    491.72/677.36 = 456.28/x
  3. Step 3: Cross multiply
    491.72x = 677.36 × 456.28
  4. Step 4: Simplify right side
    491.72x = 309,065.82
  5. Step 5: Solve for x
    x = 309,065.82/491.72
  6. Step 6: Final answer
    x = 628.54

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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.