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Finding the Fourth Proportional to 430.14, 593.31 and 313.50

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Solution

The fourth proportional to 430.14, 593.31 and 313.50 is: 432.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.14 : 593.31 = 313.50 : x
  2. Step 2: Convert to fraction form
    430.14/593.31 = 313.50/x
  3. Step 3: Cross multiply
    430.14x = 593.31 × 313.50
  4. Step 4: Simplify right side
    430.14x = 186,002.69
  5. Step 5: Solve for x
    x = 186,002.69/430.14
  6. Step 6: Final answer
    x = 432.42

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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.