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Finding the Fourth Proportional to 677.17, 933.56 and 428.37

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Solution

The fourth proportional to 677.17, 933.56 and 428.37 is: 590.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.17 : 933.56 = 428.37 : x
  2. Step 2: Convert to fraction form
    677.17/933.56 = 428.37/x
  3. Step 3: Cross multiply
    677.17x = 933.56 × 428.37
  4. Step 4: Simplify right side
    677.17x = 399,909.10
  5. Step 5: Solve for x
    x = 399,909.10/677.17
  6. Step 6: Final answer
    x = 590.56

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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.