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Finding the Fourth Proportional to 351.74, 524.42 and 320.65

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Solution

The fourth proportional to 351.74, 524.42 and 320.65 is: 478.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.74 : 524.42 = 320.65 : x
  2. Step 2: Convert to fraction form
    351.74/524.42 = 320.65/x
  3. Step 3: Cross multiply
    351.74x = 524.42 × 320.65
  4. Step 4: Simplify right side
    351.74x = 168,154.63
  5. Step 5: Solve for x
    x = 168,154.63/351.74
  6. Step 6: Final answer
    x = 478.06

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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.