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Finding the Fourth Proportional to 501.66, 750.60 and 415.03

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Solution

The fourth proportional to 501.66, 750.60 and 415.03 is: 620.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.66 : 750.60 = 415.03 : x
  2. Step 2: Convert to fraction form
    501.66/750.60 = 415.03/x
  3. Step 3: Cross multiply
    501.66x = 750.60 × 415.03
  4. Step 4: Simplify right side
    501.66x = 311,524.43
  5. Step 5: Solve for x
    x = 311,524.43/501.66
  6. Step 6: Final answer
    x = 620.99

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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.