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Finding the Fourth Proportional to 495.32, 742.38 and 357.41

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Solution

The fourth proportional to 495.32, 742.38 and 357.41 is: 535.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.32 : 742.38 = 357.41 : x
  2. Step 2: Convert to fraction form
    495.32/742.38 = 357.41/x
  3. Step 3: Cross multiply
    495.32x = 742.38 × 357.41
  4. Step 4: Simplify right side
    495.32x = 265,334.04
  5. Step 5: Solve for x
    x = 265,334.04/495.32
  6. Step 6: Final answer
    x = 535.68

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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.