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Finding the Fourth Proportional to 500.98, 745.79 and 477.40

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Solution

The fourth proportional to 500.98, 745.79 and 477.40 is: 710.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.98 : 745.79 = 477.40 : x
  2. Step 2: Convert to fraction form
    500.98/745.79 = 477.40/x
  3. Step 3: Cross multiply
    500.98x = 745.79 × 477.40
  4. Step 4: Simplify right side
    500.98x = 356,040.15
  5. Step 5: Solve for x
    x = 356,040.15/500.98
  6. Step 6: Final answer
    x = 710.69

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.