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Finding the Fourth Proportional to 565.06, 778.85 and 378.48

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Solution

The fourth proportional to 565.06, 778.85 and 378.48 is: 521.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.06 : 778.85 = 378.48 : x
  2. Step 2: Convert to fraction form
    565.06/778.85 = 378.48/x
  3. Step 3: Cross multiply
    565.06x = 778.85 × 378.48
  4. Step 4: Simplify right side
    565.06x = 294,779.41
  5. Step 5: Solve for x
    x = 294,779.41/565.06
  6. Step 6: Final answer
    x = 521.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.