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Finding the Fourth Proportional to 693.64, 957.22 and 378.88

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Solution

The fourth proportional to 693.64, 957.22 and 378.88 is: 522.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.64 : 957.22 = 378.88 : x
  2. Step 2: Convert to fraction form
    693.64/957.22 = 378.88/x
  3. Step 3: Cross multiply
    693.64x = 957.22 × 378.88
  4. Step 4: Simplify right side
    693.64x = 362,671.51
  5. Step 5: Solve for x
    x = 362,671.51/693.64
  6. Step 6: Final answer
    x = 522.85

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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.