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Finding the Fourth Proportional to 430.86, 594.36 and 306.57

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Solution

The fourth proportional to 430.86, 594.36 and 306.57 is: 422.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.86 : 594.36 = 306.57 : x
  2. Step 2: Convert to fraction form
    430.86/594.36 = 306.57/x
  3. Step 3: Cross multiply
    430.86x = 594.36 × 306.57
  4. Step 4: Simplify right side
    430.86x = 182,212.95
  5. Step 5: Solve for x
    x = 182,212.95/430.86
  6. Step 6: Final answer
    x = 422.91

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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.