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Finding the Fourth Proportional to 580.84, 801.96 and 384.68

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Solution

The fourth proportional to 580.84, 801.96 and 384.68 is: 531.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.84 : 801.96 = 384.68 : x
  2. Step 2: Convert to fraction form
    580.84/801.96 = 384.68/x
  3. Step 3: Cross multiply
    580.84x = 801.96 × 384.68
  4. Step 4: Simplify right side
    580.84x = 308,497.97
  5. Step 5: Solve for x
    x = 308,497.97/580.84
  6. Step 6: Final answer
    x = 531.12

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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.