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Finding the Fourth Proportional to 693.67, 957.18 and 383.17

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Solution

The fourth proportional to 693.67, 957.18 and 383.17 is: 528.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.67 : 957.18 = 383.17 : x
  2. Step 2: Convert to fraction form
    693.67/957.18 = 383.17/x
  3. Step 3: Cross multiply
    693.67x = 957.18 × 383.17
  4. Step 4: Simplify right side
    693.67x = 366,762.66
  5. Step 5: Solve for x
    x = 366,762.66/693.67
  6. Step 6: Final answer
    x = 528.73

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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.