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Finding the Fourth Proportional to 412.48, 615.80 and 320.68

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Solution

The fourth proportional to 412.48, 615.80 and 320.68 is: 478.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.48 : 615.80 = 320.68 : x
  2. Step 2: Convert to fraction form
    412.48/615.80 = 320.68/x
  3. Step 3: Cross multiply
    412.48x = 615.80 × 320.68
  4. Step 4: Simplify right side
    412.48x = 197,474.74
  5. Step 5: Solve for x
    x = 197,474.74/412.48
  6. Step 6: Final answer
    x = 478.75

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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.