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Finding the Fourth Proportional to 708.39, 977.54 and 393.65

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Solution

The fourth proportional to 708.39, 977.54 and 393.65 is: 543.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.39 : 977.54 = 393.65 : x
  2. Step 2: Convert to fraction form
    708.39/977.54 = 393.65/x
  3. Step 3: Cross multiply
    708.39x = 977.54 × 393.65
  4. Step 4: Simplify right side
    708.39x = 384,810.93
  5. Step 5: Solve for x
    x = 384,810.93/708.39
  6. Step 6: Final answer
    x = 543.22

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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.