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Finding the Fourth Proportional to 473.16, 651.96 and 325.47

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Solution

The fourth proportional to 473.16, 651.96 and 325.47 is: 448.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.16 : 651.96 = 325.47 : x
  2. Step 2: Convert to fraction form
    473.16/651.96 = 325.47/x
  3. Step 3: Cross multiply
    473.16x = 651.96 × 325.47
  4. Step 4: Simplify right side
    473.16x = 212,193.42
  5. Step 5: Solve for x
    x = 212,193.42/473.16
  6. Step 6: Final answer
    x = 448.46

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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.