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Finding the Fourth Proportional to 433.64, 598.37 and 317

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Solution

The fourth proportional to 433.64, 598.37 and 317 is: 437.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.64 : 598.37 = 317 : x
  2. Step 2: Convert to fraction form
    433.64/598.37 = 317/x
  3. Step 3: Cross multiply
    433.64x = 598.37 × 317
  4. Step 4: Simplify right side
    433.64x = 189,683.29
  5. Step 5: Solve for x
    x = 189,683.29/433.64
  6. Step 6: Final answer
    x = 437.42

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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.