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Finding the Fourth Proportional to 595.83, 822.34 and 347.29

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Solution

The fourth proportional to 595.83, 822.34 and 347.29 is: 479.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.83 : 822.34 = 347.29 : x
  2. Step 2: Convert to fraction form
    595.83/822.34 = 347.29/x
  3. Step 3: Cross multiply
    595.83x = 822.34 × 347.29
  4. Step 4: Simplify right side
    595.83x = 285,591.49
  5. Step 5: Solve for x
    x = 285,591.49/595.83
  6. Step 6: Final answer
    x = 479.32

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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.