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Finding the Fourth Proportional to 708.16, 976.72 and 459.54

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Solution

The fourth proportional to 708.16, 976.72 and 459.54 is: 633.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.16 : 976.72 = 459.54 : x
  2. Step 2: Convert to fraction form
    708.16/976.72 = 459.54/x
  3. Step 3: Cross multiply
    708.16x = 976.72 × 459.54
  4. Step 4: Simplify right side
    708.16x = 448,841.91
  5. Step 5: Solve for x
    x = 448,841.91/708.16
  6. Step 6: Final answer
    x = 633.81

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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.