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Finding the Fourth Proportional to 505.84, 759.48 and 384.88

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Solution

The fourth proportional to 505.84, 759.48 and 384.88 is: 577.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.84 : 759.48 = 384.88 : x
  2. Step 2: Convert to fraction form
    505.84/759.48 = 384.88/x
  3. Step 3: Cross multiply
    505.84x = 759.48 × 384.88
  4. Step 4: Simplify right side
    505.84x = 292,308.66
  5. Step 5: Solve for x
    x = 292,308.66/505.84
  6. Step 6: Final answer
    x = 577.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.