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Finding the Fourth Proportional to 473.91, 710.60 and 165.74

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Solution

The fourth proportional to 473.91, 710.60 and 165.74 is: 248.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.91 : 710.60 = 165.74 : x
  2. Step 2: Convert to fraction form
    473.91/710.60 = 165.74/x
  3. Step 3: Cross multiply
    473.91x = 710.60 × 165.74
  4. Step 4: Simplify right side
    473.91x = 117,774.84
  5. Step 5: Solve for x
    x = 117,774.84/473.91
  6. Step 6: Final answer
    x = 248.52

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