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Finding the Fourth Proportional to 708.55, 977.06 and 459.88

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Solution

The fourth proportional to 708.55, 977.06 and 459.88 is: 634.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.55 : 977.06 = 459.88 : x
  2. Step 2: Convert to fraction form
    708.55/977.06 = 459.88/x
  3. Step 3: Cross multiply
    708.55x = 977.06 × 459.88
  4. Step 4: Simplify right side
    708.55x = 449,329.06
  5. Step 5: Solve for x
    x = 449,329.06/708.55
  6. Step 6: Final answer
    x = 634.16

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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.