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Finding the Fourth Proportional to 456.42, 629.70 and 259.88

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Solution

The fourth proportional to 456.42, 629.70 and 259.88 is: 358.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.42 : 629.70 = 259.88 : x
  2. Step 2: Convert to fraction form
    456.42/629.70 = 259.88/x
  3. Step 3: Cross multiply
    456.42x = 629.70 × 259.88
  4. Step 4: Simplify right side
    456.42x = 163,646.44
  5. Step 5: Solve for x
    x = 163,646.44/456.42
  6. Step 6: Final answer
    x = 358.54

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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.