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Finding the Fourth Proportional to 520.94, 784.45 and 384.94

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Solution

The fourth proportional to 520.94, 784.45 and 384.94 is: 579.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.94 : 784.45 = 384.94 : x
  2. Step 2: Convert to fraction form
    520.94/784.45 = 384.94/x
  3. Step 3: Cross multiply
    520.94x = 784.45 × 384.94
  4. Step 4: Simplify right side
    520.94x = 301,963.26
  5. Step 5: Solve for x
    x = 301,963.26/520.94
  6. Step 6: Final answer
    x = 579.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.