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Finding the Fourth Proportional to 595.86, 822.24 and 347.16

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Solution

The fourth proportional to 595.86, 822.24 and 347.16 is: 479.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.86 : 822.24 = 347.16 : x
  2. Step 2: Convert to fraction form
    595.86/822.24 = 347.16/x
  3. Step 3: Cross multiply
    595.86x = 822.24 × 347.16
  4. Step 4: Simplify right side
    595.86x = 285,451.92
  5. Step 5: Solve for x
    x = 285,451.92/595.86
  6. Step 6: Final answer
    x = 479.06

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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.