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Finding the Fourth Proportional to 473.07, 709.71 and 164.91

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Solution

The fourth proportional to 473.07, 709.71 and 164.91 is: 247.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.07 : 709.71 = 164.91 : x
  2. Step 2: Convert to fraction form
    473.07/709.71 = 164.91/x
  3. Step 3: Cross multiply
    473.07x = 709.71 × 164.91
  4. Step 4: Simplify right side
    473.07x = 117,038.28
  5. Step 5: Solve for x
    x = 117,038.28/473.07
  6. Step 6: Final answer
    x = 247.40

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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.