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Finding the Fourth Proportional to 431.64, 595.70 and 245.06

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Solution

The fourth proportional to 431.64, 595.70 and 245.06 is: 338.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.64 : 595.70 = 245.06 : x
  2. Step 2: Convert to fraction form
    431.64/595.70 = 245.06/x
  3. Step 3: Cross multiply
    431.64x = 595.70 × 245.06
  4. Step 4: Simplify right side
    431.64x = 145,982.24
  5. Step 5: Solve for x
    x = 145,982.24/431.64
  6. Step 6: Final answer
    x = 338.20

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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.