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Finding the Fourth Proportional to 677.71, 935.26 and 383.00

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Solution

The fourth proportional to 677.71, 935.26 and 383.00 is: 528.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.71 : 935.26 = 383.00 : x
  2. Step 2: Convert to fraction form
    677.71/935.26 = 383.00/x
  3. Step 3: Cross multiply
    677.71x = 935.26 × 383.00
  4. Step 4: Simplify right side
    677.71x = 358,200.02
  5. Step 5: Solve for x
    x = 358,200.02/677.71
  6. Step 6: Final answer
    x = 528.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.