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Finding the Fourth Proportional to 501.15, 749.72 and 433.40

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Solution

The fourth proportional to 501.15, 749.72 and 433.40 is: 648.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.15 : 749.72 = 433.40 : x
  2. Step 2: Convert to fraction form
    501.15/749.72 = 433.40/x
  3. Step 3: Cross multiply
    501.15x = 749.72 × 433.40
  4. Step 4: Simplify right side
    501.15x = 324,931.61
  5. Step 5: Solve for x
    x = 324,931.61/501.15
  6. Step 6: Final answer
    x = 648.37

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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.