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Finding the Fourth Proportional to 431.66, 595.46 and 332

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Solution

The fourth proportional to 431.66, 595.46 and 332 is: 457.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.66 : 595.46 = 332 : x
  2. Step 2: Convert to fraction form
    431.66/595.46 = 332/x
  3. Step 3: Cross multiply
    431.66x = 595.46 × 332
  4. Step 4: Simplify right side
    431.66x = 197,692.72
  5. Step 5: Solve for x
    x = 197,692.72/431.66
  6. Step 6: Final answer
    x = 457.98

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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.