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Finding the Fourth Proportional to 456.05, 629.30 and 259.57

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Solution

The fourth proportional to 456.05, 629.30 and 259.57 is: 358.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.05 : 629.30 = 259.57 : x
  2. Step 2: Convert to fraction form
    456.05/629.30 = 259.57/x
  3. Step 3: Cross multiply
    456.05x = 629.30 × 259.57
  4. Step 4: Simplify right side
    456.05x = 163,346.48
  5. Step 5: Solve for x
    x = 163,346.48/456.05
  6. Step 6: Final answer
    x = 358.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.