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Finding the Fourth Proportional to 456.23, 629.61 and 259.74

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Solution

The fourth proportional to 456.23, 629.61 and 259.74 is: 358.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.23 : 629.61 = 259.74 : x
  2. Step 2: Convert to fraction form
    456.23/629.61 = 259.74/x
  3. Step 3: Cross multiply
    456.23x = 629.61 × 259.74
  4. Step 4: Simplify right side
    456.23x = 163,533.93
  5. Step 5: Solve for x
    x = 163,533.93/456.23
  6. Step 6: Final answer
    x = 358.44

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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.