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Finding the Fourth Proportional to 708.67, 977.70 and 460.05

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Solution

The fourth proportional to 708.67, 977.70 and 460.05 is: 634.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.67 : 977.70 = 460.05 : x
  2. Step 2: Convert to fraction form
    708.67/977.70 = 460.05/x
  3. Step 3: Cross multiply
    708.67x = 977.70 × 460.05
  4. Step 4: Simplify right side
    708.67x = 449,790.89
  5. Step 5: Solve for x
    x = 449,790.89/708.67
  6. Step 6: Final answer
    x = 634.70

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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.