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Finding the Fourth Proportional to 594.76, 821.16 and 362.28

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Solution

The fourth proportional to 594.76, 821.16 and 362.28 is: 500.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.76 : 821.16 = 362.28 : x
  2. Step 2: Convert to fraction form
    594.76/821.16 = 362.28/x
  3. Step 3: Cross multiply
    594.76x = 821.16 × 362.28
  4. Step 4: Simplify right side
    594.76x = 297,489.84
  5. Step 5: Solve for x
    x = 297,489.84/594.76
  6. Step 6: Final answer
    x = 500.18

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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.