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Finding the Fourth Proportional to 475.68, 656.16 and 320.64

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Solution

The fourth proportional to 475.68, 656.16 and 320.64 is: 442.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.68 : 656.16 = 320.64 : x
  2. Step 2: Convert to fraction form
    475.68/656.16 = 320.64/x
  3. Step 3: Cross multiply
    475.68x = 656.16 × 320.64
  4. Step 4: Simplify right side
    475.68x = 210,391.14
  5. Step 5: Solve for x
    x = 210,391.14/475.68
  6. Step 6: Final answer
    x = 442.30

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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.