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Finding the Fourth Proportional to 595.77, 821.93 and 362.49

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Solution

The fourth proportional to 595.77, 821.93 and 362.49 is: 500.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.77 : 821.93 = 362.49 : x
  2. Step 2: Convert to fraction form
    595.77/821.93 = 362.49/x
  3. Step 3: Cross multiply
    595.77x = 821.93 × 362.49
  4. Step 4: Simplify right side
    595.77x = 297,939.59
  5. Step 5: Solve for x
    x = 297,939.59/595.77
  6. Step 6: Final answer
    x = 500.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.