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Finding the Fourth Proportional to 406.80, 564 and 384.92

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Solution

The fourth proportional to 406.80, 564 and 384.92 is: 533.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.80 : 564 = 384.92 : x
  2. Step 2: Convert to fraction form
    406.80/564 = 384.92/x
  3. Step 3: Cross multiply
    406.80x = 564 × 384.92
  4. Step 4: Simplify right side
    406.80x = 217,094.88
  5. Step 5: Solve for x
    x = 217,094.88/406.80
  6. Step 6: Final answer
    x = 533.66

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.