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Finding the Fourth Proportional to 683.07, 942.64 and 384.32

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Solution

The fourth proportional to 683.07, 942.64 and 384.32 is: 530.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.07 : 942.64 = 384.32 : x
  2. Step 2: Convert to fraction form
    683.07/942.64 = 384.32/x
  3. Step 3: Cross multiply
    683.07x = 942.64 × 384.32
  4. Step 4: Simplify right side
    683.07x = 362,273.27
  5. Step 5: Solve for x
    x = 362,273.27/683.07
  6. Step 6: Final answer
    x = 530.36

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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.