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Finding the Fourth Proportional to 595.76, 822.12 and 362.84

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Solution

The fourth proportional to 595.76, 822.12 and 362.84 is: 500.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.76 : 822.12 = 362.84 : x
  2. Step 2: Convert to fraction form
    595.76/822.12 = 362.84/x
  3. Step 3: Cross multiply
    595.76x = 822.12 × 362.84
  4. Step 4: Simplify right side
    595.76x = 298,298.02
  5. Step 5: Solve for x
    x = 298,298.02/595.76
  6. Step 6: Final answer
    x = 500.70

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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.