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Finding the Fourth Proportional to 595.79, 822.05 and 346.96

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Solution

The fourth proportional to 595.79, 822.05 and 346.96 is: 478.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.79 : 822.05 = 346.96 : x
  2. Step 2: Convert to fraction form
    595.79/822.05 = 346.96/x
  3. Step 3: Cross multiply
    595.79x = 822.05 × 346.96
  4. Step 4: Simplify right side
    595.79x = 285,218.47
  5. Step 5: Solve for x
    x = 285,218.47/595.79
  6. Step 6: Final answer
    x = 478.72

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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.