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Finding the Fourth Proportional to 499.37, 688.91 and 302.54

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Solution

The fourth proportional to 499.37, 688.91 and 302.54 is: 417.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.37 : 688.91 = 302.54 : x
  2. Step 2: Convert to fraction form
    499.37/688.91 = 302.54/x
  3. Step 3: Cross multiply
    499.37x = 688.91 × 302.54
  4. Step 4: Simplify right side
    499.37x = 208,417.87
  5. Step 5: Solve for x
    x = 208,417.87/499.37
  6. Step 6: Final answer
    x = 417.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.