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Finding the Fourth Proportional to 593.76, 818.40 and 446.88

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Solution

The fourth proportional to 593.76, 818.40 and 446.88 is: 615.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.76 : 818.40 = 446.88 : x
  2. Step 2: Convert to fraction form
    593.76/818.40 = 446.88/x
  3. Step 3: Cross multiply
    593.76x = 818.40 × 446.88
  4. Step 4: Simplify right side
    593.76x = 365,726.59
  5. Step 5: Solve for x
    x = 365,726.59/593.76
  6. Step 6: Final answer
    x = 615.95

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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.