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Finding the Fourth Proportional to 431.50, 595.50 and 245.05

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Solution

The fourth proportional to 431.50, 595.50 and 245.05 is: 338.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.50 : 595.50 = 245.05 : x
  2. Step 2: Convert to fraction form
    431.50/595.50 = 245.05/x
  3. Step 3: Cross multiply
    431.50x = 595.50 × 245.05
  4. Step 4: Simplify right side
    431.50x = 145,926.71
  5. Step 5: Solve for x
    x = 145,926.71/431.50
  6. Step 6: Final answer
    x = 338.19

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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.