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Finding the Fourth Proportional to 595.86, 822.39 and 360

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Solution

The fourth proportional to 595.86, 822.39 and 360 is: 496.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.86 : 822.39 = 360 : x
  2. Step 2: Convert to fraction form
    595.86/822.39 = 360/x
  3. Step 3: Cross multiply
    595.86x = 822.39 × 360
  4. Step 4: Simplify right side
    595.86x = 296,060.40
  5. Step 5: Solve for x
    x = 296,060.40/595.86
  6. Step 6: Final answer
    x = 496.86

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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.