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Finding the Fourth Proportional to 384.96, 580.04 and 317.99

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Solution

The fourth proportional to 384.96, 580.04 and 317.99 is: 479.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.96 : 580.04 = 317.99 : x
  2. Step 2: Convert to fraction form
    384.96/580.04 = 317.99/x
  3. Step 3: Cross multiply
    384.96x = 580.04 × 317.99
  4. Step 4: Simplify right side
    384.96x = 184,446.92
  5. Step 5: Solve for x
    x = 184,446.92/384.96
  6. Step 6: Final answer
    x = 479.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.