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Finding the Fourth Proportional to 455.76, 628.98 and 259.23

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Solution

The fourth proportional to 455.76, 628.98 and 259.23 is: 357.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.76 : 628.98 = 259.23 : x
  2. Step 2: Convert to fraction form
    455.76/628.98 = 259.23/x
  3. Step 3: Cross multiply
    455.76x = 628.98 × 259.23
  4. Step 4: Simplify right side
    455.76x = 163,050.49
  5. Step 5: Solve for x
    x = 163,050.49/455.76
  6. Step 6: Final answer
    x = 357.76

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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.