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Finding the Fourth Proportional to 430.05, 593.49 and 264.24

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Solution

The fourth proportional to 430.05, 593.49 and 264.24 is: 364.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.05 : 593.49 = 264.24 : x
  2. Step 2: Convert to fraction form
    430.05/593.49 = 264.24/x
  3. Step 3: Cross multiply
    430.05x = 593.49 × 264.24
  4. Step 4: Simplify right side
    430.05x = 156,823.80
  5. Step 5: Solve for x
    x = 156,823.80/430.05
  6. Step 6: Final answer
    x = 364.66

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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.