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Finding the Fourth Proportional to 456.30, 629.74 and 259.88

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Solution

The fourth proportional to 456.30, 629.74 and 259.88 is: 358.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.30 : 629.74 = 259.88 : x
  2. Step 2: Convert to fraction form
    456.30/629.74 = 259.88/x
  3. Step 3: Cross multiply
    456.30x = 629.74 × 259.88
  4. Step 4: Simplify right side
    456.30x = 163,656.83
  5. Step 5: Solve for x
    x = 163,656.83/456.30
  6. Step 6: Final answer
    x = 358.66

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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.