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Finding the Fourth Proportional to 473.59, 710.57 and 165.48

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Solution

The fourth proportional to 473.59, 710.57 and 165.48 is: 248.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.59 : 710.57 = 165.48 : x
  2. Step 2: Convert to fraction form
    473.59/710.57 = 165.48/x
  3. Step 3: Cross multiply
    473.59x = 710.57 × 165.48
  4. Step 4: Simplify right side
    473.59x = 117,585.12
  5. Step 5: Solve for x
    x = 117,585.12/473.59
  6. Step 6: Final answer
    x = 248.28

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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.