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Finding the Fourth Proportional to 565.41, 847.02 and 346.10

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Solution

The fourth proportional to 565.41, 847.02 and 346.10 is: 518.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.41 : 847.02 = 346.10 : x
  2. Step 2: Convert to fraction form
    565.41/847.02 = 346.10/x
  3. Step 3: Cross multiply
    565.41x = 847.02 × 346.10
  4. Step 4: Simplify right side
    565.41x = 293,149.39
  5. Step 5: Solve for x
    x = 293,149.39/565.41
  6. Step 6: Final answer
    x = 518.47

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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.