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Finding the Fourth Proportional to 504.57, 758.40 and 493.81

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Solution

The fourth proportional to 504.57, 758.40 and 493.81 is: 742.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.57 : 758.40 = 493.81 : x
  2. Step 2: Convert to fraction form
    504.57/758.40 = 493.81/x
  3. Step 3: Cross multiply
    504.57x = 758.40 × 493.81
  4. Step 4: Simplify right side
    504.57x = 374,501.76
  5. Step 5: Solve for x
    x = 374,501.76/504.57
  6. Step 6: Final answer
    x = 742.21

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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.