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Finding the Fourth Proportional to 430.66, 594.08 and 331

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Solution

The fourth proportional to 430.66, 594.08 and 331 is: 456.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.66 : 594.08 = 331 : x
  2. Step 2: Convert to fraction form
    430.66/594.08 = 331/x
  3. Step 3: Cross multiply
    430.66x = 594.08 × 331
  4. Step 4: Simplify right side
    430.66x = 196,640.48
  5. Step 5: Solve for x
    x = 196,640.48/430.66
  6. Step 6: Final answer
    x = 456.60

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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.