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Finding the Fourth Proportional to 499.02, 688.63 and 278.00

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Solution

The fourth proportional to 499.02, 688.63 and 278.00 is: 383.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.02 : 688.63 = 278.00 : x
  2. Step 2: Convert to fraction form
    499.02/688.63 = 278.00/x
  3. Step 3: Cross multiply
    499.02x = 688.63 × 278.00
  4. Step 4: Simplify right side
    499.02x = 191,434.31
  5. Step 5: Solve for x
    x = 191,434.31/499.02
  6. Step 6: Final answer
    x = 383.62

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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.