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Finding the Fourth Proportional to 431.95, 595.79 and 332.63

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Solution

The fourth proportional to 431.95, 595.79 and 332.63 is: 458.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.95 : 595.79 = 332.63 : x
  2. Step 2: Convert to fraction form
    431.95/595.79 = 332.63/x
  3. Step 3: Cross multiply
    431.95x = 595.79 × 332.63
  4. Step 4: Simplify right side
    431.95x = 198,172.99
  5. Step 5: Solve for x
    x = 198,172.99/431.95
  6. Step 6: Final answer
    x = 458.79

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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.