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Finding the Fourth Proportional to 430.09, 592.07 and 371.84

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Solution

The fourth proportional to 430.09, 592.07 and 371.84 is: 511.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.09 : 592.07 = 371.84 : x
  2. Step 2: Convert to fraction form
    430.09/592.07 = 371.84/x
  3. Step 3: Cross multiply
    430.09x = 592.07 × 371.84
  4. Step 4: Simplify right side
    430.09x = 220,150.49
  5. Step 5: Solve for x
    x = 220,150.49/430.09
  6. Step 6: Final answer
    x = 511.87

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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.