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Finding the Fourth Proportional to 708.40, 977.16 and 498.21

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Solution

The fourth proportional to 708.40, 977.16 and 498.21 is: 687.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.40 : 977.16 = 498.21 : x
  2. Step 2: Convert to fraction form
    708.40/977.16 = 498.21/x
  3. Step 3: Cross multiply
    708.40x = 977.16 × 498.21
  4. Step 4: Simplify right side
    708.40x = 486,830.88
  5. Step 5: Solve for x
    x = 486,830.88/708.40
  6. Step 6: Final answer
    x = 687.23

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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.