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Finding the Fourth Proportional to 595.32, 822.38 and 513.33

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Solution

The fourth proportional to 595.32, 822.38 and 513.33 is: 709.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.32 : 822.38 = 513.33 : x
  2. Step 2: Convert to fraction form
    595.32/822.38 = 513.33/x
  3. Step 3: Cross multiply
    595.32x = 822.38 × 513.33
  4. Step 4: Simplify right side
    595.32x = 422,149.76
  5. Step 5: Solve for x
    x = 422,149.76/595.32
  6. Step 6: Final answer
    x = 709.11

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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.