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Finding the Fourth Proportional to 430.20, 593.01 and 264.10

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Solution

The fourth proportional to 430.20, 593.01 and 264.10 is: 364.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.20 : 593.01 = 264.10 : x
  2. Step 2: Convert to fraction form
    430.20/593.01 = 264.10/x
  3. Step 3: Cross multiply
    430.20x = 593.01 × 264.10
  4. Step 4: Simplify right side
    430.20x = 156,613.94
  5. Step 5: Solve for x
    x = 156,613.94/430.20
  6. Step 6: Final answer
    x = 364.05

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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.