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Finding the Fourth Proportional to 565.63, 847.42 and 257.02

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Solution

The fourth proportional to 565.63, 847.42 and 257.02 is: 385.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.63 : 847.42 = 257.02 : x
  2. Step 2: Convert to fraction form
    565.63/847.42 = 257.02/x
  3. Step 3: Cross multiply
    565.63x = 847.42 × 257.02
  4. Step 4: Simplify right side
    565.63x = 217,803.89
  5. Step 5: Solve for x
    x = 217,803.89/565.63
  6. Step 6: Final answer
    x = 385.06

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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.