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Finding the Fourth Proportional to 497.88, 746.64 and 389.88

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Solution

The fourth proportional to 497.88, 746.64 and 389.88 is: 584.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.88 : 746.64 = 389.88 : x
  2. Step 2: Convert to fraction form
    497.88/746.64 = 389.88/x
  3. Step 3: Cross multiply
    497.88x = 746.64 × 389.88
  4. Step 4: Simplify right side
    497.88x = 291,100.00
  5. Step 5: Solve for x
    x = 291,100.00/497.88
  6. Step 6: Final answer
    x = 584.68

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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.