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Finding the Fourth Proportional to 595.35, 821.79 and 346.77

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Solution

The fourth proportional to 595.35, 821.79 and 346.77 is: 478.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.35 : 821.79 = 346.77 : x
  2. Step 2: Convert to fraction form
    595.35/821.79 = 346.77/x
  3. Step 3: Cross multiply
    595.35x = 821.79 × 346.77
  4. Step 4: Simplify right side
    595.35x = 284,972.12
  5. Step 5: Solve for x
    x = 284,972.12/595.35
  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.