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Finding the Fourth Proportional to 456.34, 629.79 and 259.87

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Solution

The fourth proportional to 456.34, 629.79 and 259.87 is: 358.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.34 : 629.79 = 259.87 : x
  2. Step 2: Convert to fraction form
    456.34/629.79 = 259.87/x
  3. Step 3: Cross multiply
    456.34x = 629.79 × 259.87
  4. Step 4: Simplify right side
    456.34x = 163,663.53
  5. Step 5: Solve for x
    x = 163,663.53/456.34
  6. Step 6: Final answer
    x = 358.64

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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.