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Finding the Fourth Proportional to 708.43, 977.67 and 397.93

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Solution

The fourth proportional to 708.43, 977.67 and 397.93 is: 549.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.43 : 977.67 = 397.93 : x
  2. Step 2: Convert to fraction form
    708.43/977.67 = 397.93/x
  3. Step 3: Cross multiply
    708.43x = 977.67 × 397.93
  4. Step 4: Simplify right side
    708.43x = 389,044.22
  5. Step 5: Solve for x
    x = 389,044.22/708.43
  6. Step 6: Final answer
    x = 549.16

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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.