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Finding the Fourth Proportional to 565.70, 848.54 and 273.13

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Solution

The fourth proportional to 565.70, 848.54 and 273.13 is: 409.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.70 : 848.54 = 273.13 : x
  2. Step 2: Convert to fraction form
    565.70/848.54 = 273.13/x
  3. Step 3: Cross multiply
    565.70x = 848.54 × 273.13
  4. Step 4: Simplify right side
    565.70x = 231,760.29
  5. Step 5: Solve for x
    x = 231,760.29/565.70
  6. Step 6: Final answer
    x = 409.69

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Similar ratio
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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.