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Finding the Fourth Proportional to 430.68, 593.23 and 364.21

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Solution

The fourth proportional to 430.68, 593.23 and 364.21 is: 501.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.68 : 593.23 = 364.21 : x
  2. Step 2: Convert to fraction form
    430.68/593.23 = 364.21/x
  3. Step 3: Cross multiply
    430.68x = 593.23 × 364.21
  4. Step 4: Simplify right side
    430.68x = 216,060.30
  5. Step 5: Solve for x
    x = 216,060.30/430.68
  6. Step 6: Final answer
    x = 501.67

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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.