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Finding the Fourth Proportional to 390.48, 584.16 and 337.04

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Solution

The fourth proportional to 390.48, 584.16 and 337.04 is: 504.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.48 : 584.16 = 337.04 : x
  2. Step 2: Convert to fraction form
    390.48/584.16 = 337.04/x
  3. Step 3: Cross multiply
    390.48x = 584.16 × 337.04
  4. Step 4: Simplify right side
    390.48x = 196,885.29
  5. Step 5: Solve for x
    x = 196,885.29/390.48
  6. Step 6: Final answer
    x = 504.21

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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.