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Finding the Fourth Proportional to 384.99, 577.47 and 212

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Solution

The fourth proportional to 384.99, 577.47 and 212 is: 317.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.99 : 577.47 = 212 : x
  2. Step 2: Convert to fraction form
    384.99/577.47 = 212/x
  3. Step 3: Cross multiply
    384.99x = 577.47 × 212
  4. Step 4: Simplify right side
    384.99x = 122,423.64
  5. Step 5: Solve for x
    x = 122,423.64/384.99
  6. Step 6: Final answer
    x = 317.99

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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.