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Finding the Fourth Proportional to 473.66, 710.58 and 165.42

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Solution

The fourth proportional to 473.66, 710.58 and 165.42 is: 248.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.66 : 710.58 = 165.42 : x
  2. Step 2: Convert to fraction form
    473.66/710.58 = 165.42/x
  3. Step 3: Cross multiply
    473.66x = 710.58 × 165.42
  4. Step 4: Simplify right side
    473.66x = 117,544.14
  5. Step 5: Solve for x
    x = 117,544.14/473.66
  6. Step 6: Final answer
    x = 248.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.