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Finding the Fourth Proportional to 384.99, 577.40 and 179.37

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Solution

The fourth proportional to 384.99, 577.40 and 179.37 is: 269.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.99 : 577.40 = 179.37 : x
  2. Step 2: Convert to fraction form
    384.99/577.40 = 179.37/x
  3. Step 3: Cross multiply
    384.99x = 577.40 × 179.37
  4. Step 4: Simplify right side
    384.99x = 103,565.35
  5. Step 5: Solve for x
    x = 103,565.35/384.99
  6. Step 6: Final answer
    x = 269.01

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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.