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Finding the Fourth Proportional to 595.93, 822.60 and 359.89

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Solution

The fourth proportional to 595.93, 822.60 and 359.89 is: 496.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.93 : 822.60 = 359.89 : x
  2. Step 2: Convert to fraction form
    595.93/822.60 = 359.89/x
  3. Step 3: Cross multiply
    595.93x = 822.60 × 359.89
  4. Step 4: Simplify right side
    595.93x = 296,045.51
  5. Step 5: Solve for x
    x = 296,045.51/595.93
  6. Step 6: Final answer
    x = 496.78

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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.