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Finding the Fourth Proportional to 677.84, 934.47 and 456.44

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Solution

The fourth proportional to 677.84, 934.47 and 456.44 is: 629.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.84 : 934.47 = 456.44 : x
  2. Step 2: Convert to fraction form
    677.84/934.47 = 456.44/x
  3. Step 3: Cross multiply
    677.84x = 934.47 × 456.44
  4. Step 4: Simplify right side
    677.84x = 426,524.81
  5. Step 5: Solve for x
    x = 426,524.81/677.84
  6. Step 6: Final answer
    x = 629.25

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1.5x scale

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.