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Finding the Fourth Proportional to 595.50, 821.77 and 346.86

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Solution

The fourth proportional to 595.50, 821.77 and 346.86 is: 478.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.50 : 821.77 = 346.86 : x
  2. Step 2: Convert to fraction form
    595.50/821.77 = 346.86/x
  3. Step 3: Cross multiply
    595.50x = 821.77 × 346.86
  4. Step 4: Simplify right side
    595.50x = 285,039.14
  5. Step 5: Solve for x
    x = 285,039.14/595.50
  6. Step 6: Final answer
    x = 478.66

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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.