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Finding the Fourth Proportional to 677.45, 934.25 and 455.99

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Solution

The fourth proportional to 677.45, 934.25 and 455.99 is: 628.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.45 : 934.25 = 455.99 : x
  2. Step 2: Convert to fraction form
    677.45/934.25 = 455.99/x
  3. Step 3: Cross multiply
    677.45x = 934.25 × 455.99
  4. Step 4: Simplify right side
    677.45x = 426,001.71
  5. Step 5: Solve for x
    x = 426,001.71/677.45
  6. Step 6: Final answer
    x = 628.84

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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.