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Finding the Fourth Proportional to 430.12, 592.86 and 298.90

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Solution

The fourth proportional to 430.12, 592.86 and 298.90 is: 411.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.12 : 592.86 = 298.90 : x
  2. Step 2: Convert to fraction form
    430.12/592.86 = 298.90/x
  3. Step 3: Cross multiply
    430.12x = 592.86 × 298.90
  4. Step 4: Simplify right side
    430.12x = 177,205.85
  5. Step 5: Solve for x
    x = 177,205.85/430.12
  6. Step 6: Final answer
    x = 411.99

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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.