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Finding the Fourth Proportional to 678.88, 936.66 and 457.44

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Solution

The fourth proportional to 678.88, 936.66 and 457.44 is: 631.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.88 : 936.66 = 457.44 : x
  2. Step 2: Convert to fraction form
    678.88/936.66 = 457.44/x
  3. Step 3: Cross multiply
    678.88x = 936.66 × 457.44
  4. Step 4: Simplify right side
    678.88x = 428,465.75
  5. Step 5: Solve for x
    x = 428,465.75/678.88
  6. Step 6: Final answer
    x = 631.14

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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.