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Finding the Fourth Proportional to 682.95, 942.33 and 384.20

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Solution

The fourth proportional to 682.95, 942.33 and 384.20 is: 530.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.95 : 942.33 = 384.20 : x
  2. Step 2: Convert to fraction form
    682.95/942.33 = 384.20/x
  3. Step 3: Cross multiply
    682.95x = 942.33 × 384.20
  4. Step 4: Simplify right side
    682.95x = 362,043.19
  5. Step 5: Solve for x
    x = 362,043.19/682.95
  6. Step 6: Final answer
    x = 530.12

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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.