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Finding the Fourth Proportional to 397.04, 593.26 and 315.02

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Solution

The fourth proportional to 397.04, 593.26 and 315.02 is: 470.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.04 : 593.26 = 315.02 : x
  2. Step 2: Convert to fraction form
    397.04/593.26 = 315.02/x
  3. Step 3: Cross multiply
    397.04x = 593.26 × 315.02
  4. Step 4: Simplify right side
    397.04x = 186,889.46
  5. Step 5: Solve for x
    x = 186,889.46/397.04
  6. Step 6: Final answer
    x = 470.71

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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.