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Finding the Fourth Proportional to 693.65, 957.24 and 378.92

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Solution

The fourth proportional to 693.65, 957.24 and 378.92 is: 522.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.65 : 957.24 = 378.92 : x
  2. Step 2: Convert to fraction form
    693.65/957.24 = 378.92/x
  3. Step 3: Cross multiply
    693.65x = 957.24 × 378.92
  4. Step 4: Simplify right side
    693.65x = 362,717.38
  5. Step 5: Solve for x
    x = 362,717.38/693.65
  6. Step 6: Final answer
    x = 522.91

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Half scale
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Double scale
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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.