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Finding the Fourth Proportional to 455.65, 628.70 and 259.16

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Solution

The fourth proportional to 455.65, 628.70 and 259.16 is: 357.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.65 : 628.70 = 259.16 : x
  2. Step 2: Convert to fraction form
    455.65/628.70 = 259.16/x
  3. Step 3: Cross multiply
    455.65x = 628.70 × 259.16
  4. Step 4: Simplify right side
    455.65x = 162,930.75
  5. Step 5: Solve for x
    x = 162,930.75/455.65
  6. Step 6: Final answer
    x = 357.58

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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.