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Finding the Fourth Proportional to 677.47, 935 and 382.75

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Solution

The fourth proportional to 677.47, 935 and 382.75 is: 528.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.47 : 935 = 382.75 : x
  2. Step 2: Convert to fraction form
    677.47/935 = 382.75/x
  3. Step 3: Cross multiply
    677.47x = 935 × 382.75
  4. Step 4: Simplify right side
    677.47x = 357,871.25
  5. Step 5: Solve for x
    x = 357,871.25/677.47
  6. Step 6: Final answer
    x = 528.25

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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.