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Finding the Fourth Proportional to 598.02, 824.65 and 388.30

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Solution

The fourth proportional to 598.02, 824.65 and 388.30 is: 535.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.02 : 824.65 = 388.30 : x
  2. Step 2: Convert to fraction form
    598.02/824.65 = 388.30/x
  3. Step 3: Cross multiply
    598.02x = 824.65 × 388.30
  4. Step 4: Simplify right side
    598.02x = 320,211.60
  5. Step 5: Solve for x
    x = 320,211.60/598.02
  6. Step 6: Final answer
    x = 535.45

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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.