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Finding the Fourth Proportional to 704.25, 971.53 and 455.65

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Solution

The fourth proportional to 704.25, 971.53 and 455.65 is: 628.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.25 : 971.53 = 455.65 : x
  2. Step 2: Convert to fraction form
    704.25/971.53 = 455.65/x
  3. Step 3: Cross multiply
    704.25x = 971.53 × 455.65
  4. Step 4: Simplify right side
    704.25x = 442,674.08
  5. Step 5: Solve for x
    x = 442,674.08/704.25
  6. Step 6: Final answer
    x = 628.58

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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.