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Finding the Fourth Proportional to 693.37, 956.82 and 378.64

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Solution

The fourth proportional to 693.37, 956.82 and 378.64 is: 522.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.37 : 956.82 = 378.64 : x
  2. Step 2: Convert to fraction form
    693.37/956.82 = 378.64/x
  3. Step 3: Cross multiply
    693.37x = 956.82 × 378.64
  4. Step 4: Simplify right side
    693.37x = 362,290.32
  5. Step 5: Solve for x
    x = 362,290.32/693.37
  6. Step 6: Final answer
    x = 522.51

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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.