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Finding the Fourth Proportional to 473.56, 652.70 and 325.94

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Solution

The fourth proportional to 473.56, 652.70 and 325.94 is: 449.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.56 : 652.70 = 325.94 : x
  2. Step 2: Convert to fraction form
    473.56/652.70 = 325.94/x
  3. Step 3: Cross multiply
    473.56x = 652.70 × 325.94
  4. Step 4: Simplify right side
    473.56x = 212,741.04
  5. Step 5: Solve for x
    x = 212,741.04/473.56
  6. Step 6: Final answer
    x = 449.24

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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.