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Finding the Fourth Proportional to 500.32, 749.94 and 317.26

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Solution

The fourth proportional to 500.32, 749.94 and 317.26 is: 475.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.32 : 749.94 = 317.26 : x
  2. Step 2: Convert to fraction form
    500.32/749.94 = 317.26/x
  3. Step 3: Cross multiply
    500.32x = 749.94 × 317.26
  4. Step 4: Simplify right side
    500.32x = 237,925.96
  5. Step 5: Solve for x
    x = 237,925.96/500.32
  6. Step 6: Final answer
    x = 475.55

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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.