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Finding the Fourth Proportional to 384.69, 577.34 and 202.14

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Solution

The fourth proportional to 384.69, 577.34 and 202.14 is: 303.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.69 : 577.34 = 202.14 : x
  2. Step 2: Convert to fraction form
    384.69/577.34 = 202.14/x
  3. Step 3: Cross multiply
    384.69x = 577.34 × 202.14
  4. Step 4: Simplify right side
    384.69x = 116,703.51
  5. Step 5: Solve for x
    x = 116,703.51/384.69
  6. Step 6: Final answer
    x = 303.37

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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.