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Finding the Fourth Proportional to 430.84, 593.76 and 320.14

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Solution

The fourth proportional to 430.84, 593.76 and 320.14 is: 441.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.84 : 593.76 = 320.14 : x
  2. Step 2: Convert to fraction form
    430.84/593.76 = 320.14/x
  3. Step 3: Cross multiply
    430.84x = 593.76 × 320.14
  4. Step 4: Simplify right side
    430.84x = 190,086.33
  5. Step 5: Solve for x
    x = 190,086.33/430.84
  6. Step 6: Final answer
    x = 441.20

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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.