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Finding the Fourth Proportional to 456.49, 629.94 and 260.05

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Solution

The fourth proportional to 456.49, 629.94 and 260.05 is: 358.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.49 : 629.94 = 260.05 : x
  2. Step 2: Convert to fraction form
    456.49/629.94 = 260.05/x
  3. Step 3: Cross multiply
    456.49x = 629.94 × 260.05
  4. Step 4: Simplify right side
    456.49x = 163,815.90
  5. Step 5: Solve for x
    x = 163,815.90/456.49
  6. Step 6: Final answer
    x = 358.86

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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.