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Finding the Fourth Proportional to 320.34, 442.32 and 237.57

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Solution

The fourth proportional to 320.34, 442.32 and 237.57 is: 328.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.34 : 442.32 = 237.57 : x
  2. Step 2: Convert to fraction form
    320.34/442.32 = 237.57/x
  3. Step 3: Cross multiply
    320.34x = 442.32 × 237.57
  4. Step 4: Simplify right side
    320.34x = 105,081.96
  5. Step 5: Solve for x
    x = 105,081.96/320.34
  6. Step 6: Final answer
    x = 328.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.