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Finding the Fourth Proportional to 595.47, 821.73 and 346.80

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Solution

The fourth proportional to 595.47, 821.73 and 346.80 is: 478.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.47 : 821.73 = 346.80 : x
  2. Step 2: Convert to fraction form
    595.47/821.73 = 346.80/x
  3. Step 3: Cross multiply
    595.47x = 821.73 × 346.80
  4. Step 4: Simplify right side
    595.47x = 284,975.96
  5. Step 5: Solve for x
    x = 284,975.96/595.47
  6. Step 6: Final answer
    x = 478.57

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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.