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Finding the Fourth Proportional to 384.64, 577.16 and 211.30

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Solution

The fourth proportional to 384.64, 577.16 and 211.30 is: 317.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.64 : 577.16 = 211.30 : x
  2. Step 2: Convert to fraction form
    384.64/577.16 = 211.30/x
  3. Step 3: Cross multiply
    384.64x = 577.16 × 211.30
  4. Step 4: Simplify right side
    384.64x = 121,953.91
  5. Step 5: Solve for x
    x = 121,953.91/384.64
  6. Step 6: Final answer
    x = 317.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.