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Finding the Fourth Proportional to 430.20, 593.70 and 314.28

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Solution

The fourth proportional to 430.20, 593.70 and 314.28 is: 433.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.20 : 593.70 = 314.28 : x
  2. Step 2: Convert to fraction form
    430.20/593.70 = 314.28/x
  3. Step 3: Cross multiply
    430.20x = 593.70 × 314.28
  4. Step 4: Simplify right side
    430.20x = 186,588.04
  5. Step 5: Solve for x
    x = 186,588.04/430.20
  6. Step 6: Final answer
    x = 433.72

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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.