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Finding the Fourth Proportional to 594.46, 819.47 and 384.62

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Solution

The fourth proportional to 594.46, 819.47 and 384.62 is: 530.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.46 : 819.47 = 384.62 : x
  2. Step 2: Convert to fraction form
    594.46/819.47 = 384.62/x
  3. Step 3: Cross multiply
    594.46x = 819.47 × 384.62
  4. Step 4: Simplify right side
    594.46x = 315,184.55
  5. Step 5: Solve for x
    x = 315,184.55/594.46
  6. Step 6: Final answer
    x = 530.20

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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.