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Finding the Fourth Proportional to 320.96, 478 and 312.32

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Solution

The fourth proportional to 320.96, 478 and 312.32 is: 465.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.96 : 478 = 312.32 : x
  2. Step 2: Convert to fraction form
    320.96/478 = 312.32/x
  3. Step 3: Cross multiply
    320.96x = 478 × 312.32
  4. Step 4: Simplify right side
    320.96x = 149,288.96
  5. Step 5: Solve for x
    x = 149,288.96/320.96
  6. Step 6: Final answer
    x = 465.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.