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Finding the Fourth Proportional to 500.37, 749.34 and 284.10

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Solution

The fourth proportional to 500.37, 749.34 and 284.10 is: 425.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.37 : 749.34 = 284.10 : x
  2. Step 2: Convert to fraction form
    500.37/749.34 = 284.10/x
  3. Step 3: Cross multiply
    500.37x = 749.34 × 284.10
  4. Step 4: Simplify right side
    500.37x = 212,887.49
  5. Step 5: Solve for x
    x = 212,887.49/500.37
  6. Step 6: Final answer
    x = 425.46

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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.