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Finding the Fourth Proportional to 430.17, 593.10 and 299.22

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Solution

The fourth proportional to 430.17, 593.10 and 299.22 is: 412.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.17 : 593.10 = 299.22 : x
  2. Step 2: Convert to fraction form
    430.17/593.10 = 299.22/x
  3. Step 3: Cross multiply
    430.17x = 593.10 × 299.22
  4. Step 4: Simplify right side
    430.17x = 177,467.38
  5. Step 5: Solve for x
    x = 177,467.38/430.17
  6. Step 6: Final answer
    x = 412.55

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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.