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Finding the Fourth Proportional to 473.64, 710.66 and 165.71

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Solution

The fourth proportional to 473.64, 710.66 and 165.71 is: 248.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.64 : 710.66 = 165.71 : x
  2. Step 2: Convert to fraction form
    473.64/710.66 = 165.71/x
  3. Step 3: Cross multiply
    473.64x = 710.66 × 165.71
  4. Step 4: Simplify right side
    473.64x = 117,762.37
  5. Step 5: Solve for x
    x = 117,762.37/473.64
  6. Step 6: Final answer
    x = 248.64

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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.