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Finding the Fourth Proportional to 430.80, 594.18 and 299.76

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Solution

The fourth proportional to 430.80, 594.18 and 299.76 is: 413.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.80 : 594.18 = 299.76 : x
  2. Step 2: Convert to fraction form
    430.80/594.18 = 299.76/x
  3. Step 3: Cross multiply
    430.80x = 594.18 × 299.76
  4. Step 4: Simplify right side
    430.80x = 178,111.40
  5. Step 5: Solve for x
    x = 178,111.40/430.80
  6. Step 6: Final answer
    x = 413.44

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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.