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Finding the Fourth Proportional to 498.61, 688.08 and 283.01

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Solution

The fourth proportional to 498.61, 688.08 and 283.01 is: 390.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.61 : 688.08 = 283.01 : x
  2. Step 2: Convert to fraction form
    498.61/688.08 = 283.01/x
  3. Step 3: Cross multiply
    498.61x = 688.08 × 283.01
  4. Step 4: Simplify right side
    498.61x = 194,735.24
  5. Step 5: Solve for x
    x = 194,735.24/498.61
  6. Step 6: Final answer
    x = 390.56

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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.