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Finding the Fourth Proportional to 595.28, 821.60 and 362.48

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Solution

The fourth proportional to 595.28, 821.60 and 362.48 is: 500.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.28 : 821.60 = 362.48 : x
  2. Step 2: Convert to fraction form
    595.28/821.60 = 362.48/x
  3. Step 3: Cross multiply
    595.28x = 821.60 × 362.48
  4. Step 4: Simplify right side
    595.28x = 297,813.57
  5. Step 5: Solve for x
    x = 297,813.57/595.28
  6. Step 6: Final answer
    x = 500.29

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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.