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Finding the Fourth Proportional to 565.18, 848.20 and 257.04

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Solution

The fourth proportional to 565.18, 848.20 and 257.04 is: 385.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.18 : 848.20 = 257.04 : x
  2. Step 2: Convert to fraction form
    565.18/848.20 = 257.04/x
  3. Step 3: Cross multiply
    565.18x = 848.20 × 257.04
  4. Step 4: Simplify right side
    565.18x = 218,020.69
  5. Step 5: Solve for x
    x = 218,020.69/565.18
  6. Step 6: Final answer
    x = 385.76

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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.