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Finding the Fourth Proportional to 430.11, 592.74 and 311.88

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Solution

The fourth proportional to 430.11, 592.74 and 311.88 is: 429.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.11 : 592.74 = 311.88 : x
  2. Step 2: Convert to fraction form
    430.11/592.74 = 311.88/x
  3. Step 3: Cross multiply
    430.11x = 592.74 × 311.88
  4. Step 4: Simplify right side
    430.11x = 184,863.75
  5. Step 5: Solve for x
    x = 184,863.75/430.11
  6. Step 6: Final answer
    x = 429.81

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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.