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Finding the Fourth Proportional to 430.12, 592.82 and 411.24

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Solution

The fourth proportional to 430.12, 592.82 and 411.24 is: 566.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.12 : 592.82 = 411.24 : x
  2. Step 2: Convert to fraction form
    430.12/592.82 = 411.24/x
  3. Step 3: Cross multiply
    430.12x = 592.82 × 411.24
  4. Step 4: Simplify right side
    430.12x = 243,791.30
  5. Step 5: Solve for x
    x = 243,791.30/430.12
  6. Step 6: Final answer
    x = 566.80

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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.