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Finding the Fourth Proportional to 500.59, 749.94 and 317.60

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Solution

The fourth proportional to 500.59, 749.94 and 317.60 is: 475.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.59 : 749.94 = 317.60 : x
  2. Step 2: Convert to fraction form
    500.59/749.94 = 317.60/x
  3. Step 3: Cross multiply
    500.59x = 749.94 × 317.60
  4. Step 4: Simplify right side
    500.59x = 238,178.49
  5. Step 5: Solve for x
    x = 238,178.49/500.59
  6. Step 6: Final answer
    x = 475.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.