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Finding the Fourth Proportional to 500.18, 689.91 and 293.18

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Solution

The fourth proportional to 500.18, 689.91 and 293.18 is: 404.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.18 : 689.91 = 293.18 : x
  2. Step 2: Convert to fraction form
    500.18/689.91 = 293.18/x
  3. Step 3: Cross multiply
    500.18x = 689.91 × 293.18
  4. Step 4: Simplify right side
    500.18x = 202,267.81
  5. Step 5: Solve for x
    x = 202,267.81/500.18
  6. Step 6: Final answer
    x = 404.39

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Why These Related Problems?

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