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Finding the Fourth Proportional to 456.76, 630.28 and 260.23

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Solution

The fourth proportional to 456.76, 630.28 and 260.23 is: 359.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.76 : 630.28 = 260.23 : x
  2. Step 2: Convert to fraction form
    456.76/630.28 = 260.23/x
  3. Step 3: Cross multiply
    456.76x = 630.28 × 260.23
  4. Step 4: Simplify right side
    456.76x = 164,015.54
  5. Step 5: Solve for x
    x = 164,015.54/456.76
  6. Step 6: Final answer
    x = 359.09

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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.