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Finding the Fourth Proportional to 505.21, 695.89 and 357.59

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Solution

The fourth proportional to 505.21, 695.89 and 357.59 is: 492.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.21 : 695.89 = 357.59 : x
  2. Step 2: Convert to fraction form
    505.21/695.89 = 357.59/x
  3. Step 3: Cross multiply
    505.21x = 695.89 × 357.59
  4. Step 4: Simplify right side
    505.21x = 248,843.31
  5. Step 5: Solve for x
    x = 248,843.31/505.21
  6. Step 6: Final answer
    x = 492.55

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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.