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Finding the Fourth Proportional to 430.92, 592.02 and 379.08

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Solution

The fourth proportional to 430.92, 592.02 and 379.08 is: 520.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.92 : 592.02 = 379.08 : x
  2. Step 2: Convert to fraction form
    430.92/592.02 = 379.08/x
  3. Step 3: Cross multiply
    430.92x = 592.02 × 379.08
  4. Step 4: Simplify right side
    430.92x = 224,422.94
  5. Step 5: Solve for x
    x = 224,422.94/430.92
  6. Step 6: Final answer
    x = 520.80

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