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Finding the Fourth Proportional to 595.40, 821.64 and 362.60

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Solution

The fourth proportional to 595.40, 821.64 and 362.60 is: 500.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.40 : 821.64 = 362.60 : x
  2. Step 2: Convert to fraction form
    595.40/821.64 = 362.60/x
  3. Step 3: Cross multiply
    595.40x = 821.64 × 362.60
  4. Step 4: Simplify right side
    595.40x = 297,926.66
  5. Step 5: Solve for x
    x = 297,926.66/595.40
  6. Step 6: Final answer
    x = 500.38

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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.