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Finding the Fourth Proportional to 598.10, 897.44 and 309.53

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Solution

The fourth proportional to 598.10, 897.44 and 309.53 is: 464.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.10 : 897.44 = 309.53 : x
  2. Step 2: Convert to fraction form
    598.10/897.44 = 309.53/x
  3. Step 3: Cross multiply
    598.10x = 897.44 × 309.53
  4. Step 4: Simplify right side
    598.10x = 277,785.30
  5. Step 5: Solve for x
    x = 277,785.30/598.10
  6. Step 6: Final answer
    x = 464.45

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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.