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Finding the Fourth Proportional to 384.39, 575.37 and 292.86

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Solution

The fourth proportional to 384.39, 575.37 and 292.86 is: 438.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.39 : 575.37 = 292.86 : x
  2. Step 2: Convert to fraction form
    384.39/575.37 = 292.86/x
  3. Step 3: Cross multiply
    384.39x = 575.37 × 292.86
  4. Step 4: Simplify right side
    384.39x = 168,502.86
  5. Step 5: Solve for x
    x = 168,502.86/384.39
  6. Step 6: Final answer
    x = 438.36

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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.