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Finding the Fourth Proportional to 500.10, 689.76 and 448.26

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Solution

The fourth proportional to 500.10, 689.76 and 448.26 is: 618.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.10 : 689.76 = 448.26 : x
  2. Step 2: Convert to fraction form
    500.10/689.76 = 448.26/x
  3. Step 3: Cross multiply
    500.10x = 689.76 × 448.26
  4. Step 4: Simplify right side
    500.10x = 309,191.82
  5. Step 5: Solve for x
    x = 309,191.82/500.10
  6. Step 6: Final answer
    x = 618.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.