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Finding the Fourth Proportional to 595.13, 821.37 and 362.39

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Solution

The fourth proportional to 595.13, 821.37 and 362.39 is: 500.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.13 : 821.37 = 362.39 : x
  2. Step 2: Convert to fraction form
    595.13/821.37 = 362.39/x
  3. Step 3: Cross multiply
    595.13x = 821.37 × 362.39
  4. Step 4: Simplify right side
    595.13x = 297,656.27
  5. Step 5: Solve for x
    x = 297,656.27/595.13
  6. Step 6: Final answer
    x = 500.15

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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.