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Finding the Fourth Proportional to 693.96, 957.60 and 428.42

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Solution

The fourth proportional to 693.96, 957.60 and 428.42 is: 591.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.96 : 957.60 = 428.42 : x
  2. Step 2: Convert to fraction form
    693.96/957.60 = 428.42/x
  3. Step 3: Cross multiply
    693.96x = 957.60 × 428.42
  4. Step 4: Simplify right side
    693.96x = 410,250.20
  5. Step 5: Solve for x
    x = 410,250.20/693.96
  6. Step 6: Final answer
    x = 591.17

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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.