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Finding the Fourth Proportional to 355.03, 531.43 and 314.01

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Solution

The fourth proportional to 355.03, 531.43 and 314.01 is: 470.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.03 : 531.43 = 314.01 : x
  2. Step 2: Convert to fraction form
    355.03/531.43 = 314.01/x
  3. Step 3: Cross multiply
    355.03x = 531.43 × 314.01
  4. Step 4: Simplify right side
    355.03x = 166,873.55
  5. Step 5: Solve for x
    x = 166,873.55/355.03
  6. Step 6: Final answer
    x = 470.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.