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Finding the Fourth Proportional to 430.14, 591.02 and 411.06

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Solution

The fourth proportional to 430.14, 591.02 and 411.06 is: 564.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.14 : 591.02 = 411.06 : x
  2. Step 2: Convert to fraction form
    430.14/591.02 = 411.06/x
  3. Step 3: Cross multiply
    430.14x = 591.02 × 411.06
  4. Step 4: Simplify right side
    430.14x = 242,942.63
  5. Step 5: Solve for x
    x = 242,942.63/430.14
  6. Step 6: Final answer
    x = 564.80

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.