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Finding the Fourth Proportional to 595.50, 821.88 and 362.58

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Solution

The fourth proportional to 595.50, 821.88 and 362.58 is: 500.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.50 : 821.88 = 362.58 : x
  2. Step 2: Convert to fraction form
    595.50/821.88 = 362.58/x
  3. Step 3: Cross multiply
    595.50x = 821.88 × 362.58
  4. Step 4: Simplify right side
    595.50x = 297,997.25
  5. Step 5: Solve for x
    x = 297,997.25/595.50
  6. Step 6: Final answer
    x = 500.42

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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.