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Finding the Fourth Proportional to 562.32, 776.52 and 431.64

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Solution

The fourth proportional to 562.32, 776.52 and 431.64 is: 596.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.32 : 776.52 = 431.64 : x
  2. Step 2: Convert to fraction form
    562.32/776.52 = 431.64/x
  3. Step 3: Cross multiply
    562.32x = 776.52 × 431.64
  4. Step 4: Simplify right side
    562.32x = 335,177.09
  5. Step 5: Solve for x
    x = 335,177.09/562.32
  6. Step 6: Final answer
    x = 596.06

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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.