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Finding the Fourth Proportional to 708.43, 977.02 and 459.51

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Solution

The fourth proportional to 708.43, 977.02 and 459.51 is: 633.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.43 : 977.02 = 459.51 : x
  2. Step 2: Convert to fraction form
    708.43/977.02 = 459.51/x
  3. Step 3: Cross multiply
    708.43x = 977.02 × 459.51
  4. Step 4: Simplify right side
    708.43x = 448,950.46
  5. Step 5: Solve for x
    x = 448,950.46/708.43
  6. Step 6: Final answer
    x = 633.73

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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.