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Finding the Fourth Proportional to 595.59, 821.68 and 359.61

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Solution

The fourth proportional to 595.59, 821.68 and 359.61 is: 496.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.59 : 821.68 = 359.61 : x
  2. Step 2: Convert to fraction form
    595.59/821.68 = 359.61/x
  3. Step 3: Cross multiply
    595.59x = 821.68 × 359.61
  4. Step 4: Simplify right side
    595.59x = 295,484.34
  5. Step 5: Solve for x
    x = 295,484.34/595.59
  6. Step 6: Final answer
    x = 496.12

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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.