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Finding the Fourth Proportional to 677.90, 935.46 and 383.18

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Solution

The fourth proportional to 677.90, 935.46 and 383.18 is: 528.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.90 : 935.46 = 383.18 : x
  2. Step 2: Convert to fraction form
    677.90/935.46 = 383.18/x
  3. Step 3: Cross multiply
    677.90x = 935.46 × 383.18
  4. Step 4: Simplify right side
    677.90x = 358,444.89
  5. Step 5: Solve for x
    x = 358,444.89/677.90
  6. Step 6: Final answer
    x = 528.76

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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.