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Finding the Fourth Proportional to 565.85, 846.97 and 334.17

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Solution

The fourth proportional to 565.85, 846.97 and 334.17 is: 500.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.85 : 846.97 = 334.17 : x
  2. Step 2: Convert to fraction form
    565.85/846.97 = 334.17/x
  3. Step 3: Cross multiply
    565.85x = 846.97 × 334.17
  4. Step 4: Simplify right side
    565.85x = 283,031.13
  5. Step 5: Solve for x
    x = 283,031.13/565.85
  6. Step 6: Final answer
    x = 500.19

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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.