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Finding the Fourth Proportional to 688.25, 949.81 and 377.77

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Solution

The fourth proportional to 688.25, 949.81 and 377.77 is: 521.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.25 : 949.81 = 377.77 : x
  2. Step 2: Convert to fraction form
    688.25/949.81 = 377.77/x
  3. Step 3: Cross multiply
    688.25x = 949.81 × 377.77
  4. Step 4: Simplify right side
    688.25x = 358,807.83
  5. Step 5: Solve for x
    x = 358,807.83/688.25
  6. Step 6: Final answer
    x = 521.33

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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.