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Finding the Fourth Proportional to 431.73, 595.80 and 242.70

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Solution

The fourth proportional to 431.73, 595.80 and 242.70 is: 334.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.73 : 595.80 = 242.70 : x
  2. Step 2: Convert to fraction form
    431.73/595.80 = 242.70/x
  3. Step 3: Cross multiply
    431.73x = 595.80 × 242.70
  4. Step 4: Simplify right side
    431.73x = 144,600.66
  5. Step 5: Solve for x
    x = 144,600.66/431.73
  6. Step 6: Final answer
    x = 334.93

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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.