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Finding the Fourth Proportional to 595.25, 821.45 and 346.58

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Solution

The fourth proportional to 595.25, 821.45 and 346.58 is: 478.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.25 : 821.45 = 346.58 : x
  2. Step 2: Convert to fraction form
    595.25/821.45 = 346.58/x
  3. Step 3: Cross multiply
    595.25x = 821.45 × 346.58
  4. Step 4: Simplify right side
    595.25x = 284,692.30
  5. Step 5: Solve for x
    x = 284,692.30/595.25
  6. Step 6: Final answer
    x = 478.28

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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.