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Finding the Fourth Proportional to 398.18, 594.17 and 357.32

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Solution

The fourth proportional to 398.18, 594.17 and 357.32 is: 533.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.18 : 594.17 = 357.32 : x
  2. Step 2: Convert to fraction form
    398.18/594.17 = 357.32/x
  3. Step 3: Cross multiply
    398.18x = 594.17 × 357.32
  4. Step 4: Simplify right side
    398.18x = 212,308.82
  5. Step 5: Solve for x
    x = 212,308.82/398.18
  6. Step 6: Final answer
    x = 533.20

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.