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Finding the Fourth Proportional to 430.05, 593.70 and 299.76

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Solution

The fourth proportional to 430.05, 593.70 and 299.76 is: 413.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.05 : 593.70 = 299.76 : x
  2. Step 2: Convert to fraction form
    430.05/593.70 = 299.76/x
  3. Step 3: Cross multiply
    430.05x = 593.70 × 299.76
  4. Step 4: Simplify right side
    430.05x = 177,967.51
  5. Step 5: Solve for x
    x = 177,967.51/430.05
  6. Step 6: Final answer
    x = 413.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.