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Finding the Fourth Proportional to 562.32, 771.05 and 506.84

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Solution

The fourth proportional to 562.32, 771.05 and 506.84 is: 694.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.32 : 771.05 = 506.84 : x
  2. Step 2: Convert to fraction form
    562.32/771.05 = 506.84/x
  3. Step 3: Cross multiply
    562.32x = 771.05 × 506.84
  4. Step 4: Simplify right side
    562.32x = 390,792.59
  5. Step 5: Solve for x
    x = 390,792.59/562.32
  6. Step 6: Final answer
    x = 694.96

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.