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Finding the Fourth Proportional to 683.17, 942.74 and 384.38

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Solution

The fourth proportional to 683.17, 942.74 and 384.38 is: 530.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.17 : 942.74 = 384.38 : x
  2. Step 2: Convert to fraction form
    683.17/942.74 = 384.38/x
  3. Step 3: Cross multiply
    683.17x = 942.74 × 384.38
  4. Step 4: Simplify right side
    683.17x = 362,365.54
  5. Step 5: Solve for x
    x = 362,365.54/683.17
  6. Step 6: Final answer
    x = 530.42

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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.