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Finding the Fourth Proportional to 708.55, 977.75 and 393.78

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Solution

The fourth proportional to 708.55, 977.75 and 393.78 is: 543.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.55 : 977.75 = 393.78 : x
  2. Step 2: Convert to fraction form
    708.55/977.75 = 393.78/x
  3. Step 3: Cross multiply
    708.55x = 977.75 × 393.78
  4. Step 4: Simplify right side
    708.55x = 385,011.54
  5. Step 5: Solve for x
    x = 385,011.54/708.55
  6. Step 6: Final answer
    x = 543.38

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1.5x scale

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.