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Finding the Fourth Proportional to 499.65, 749.53 and 175.02

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Solution

The fourth proportional to 499.65, 749.53 and 175.02 is: 262.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.65 : 749.53 = 175.02 : x
  2. Step 2: Convert to fraction form
    499.65/749.53 = 175.02/x
  3. Step 3: Cross multiply
    499.65x = 749.53 × 175.02
  4. Step 4: Simplify right side
    499.65x = 131,182.74
  5. Step 5: Solve for x
    x = 131,182.74/499.65
  6. Step 6: Final answer
    x = 262.55

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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.