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Finding the Fourth Proportional to 565.58, 848.46 and 240.86

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Solution

The fourth proportional to 565.58, 848.46 and 240.86 is: 361.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.58 : 848.46 = 240.86 : x
  2. Step 2: Convert to fraction form
    565.58/848.46 = 240.86/x
  3. Step 3: Cross multiply
    565.58x = 848.46 × 240.86
  4. Step 4: Simplify right side
    565.58x = 204,360.08
  5. Step 5: Solve for x
    x = 204,360.08/565.58
  6. Step 6: Final answer
    x = 361.33

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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.