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Finding the Fourth Proportional to 645.24, 967.32 and 384.96

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Solution

The fourth proportional to 645.24, 967.32 and 384.96 is: 577.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.24 : 967.32 = 384.96 : x
  2. Step 2: Convert to fraction form
    645.24/967.32 = 384.96/x
  3. Step 3: Cross multiply
    645.24x = 967.32 × 384.96
  4. Step 4: Simplify right side
    645.24x = 372,379.51
  5. Step 5: Solve for x
    x = 372,379.51/645.24
  6. Step 6: Final answer
    x = 577.12

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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.