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Finding the Fourth Proportional to 398.18, 595.62 and 360.21

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Solution

The fourth proportional to 398.18, 595.62 and 360.21 is: 538.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.18 : 595.62 = 360.21 : x
  2. Step 2: Convert to fraction form
    398.18/595.62 = 360.21/x
  3. Step 3: Cross multiply
    398.18x = 595.62 × 360.21
  4. Step 4: Simplify right side
    398.18x = 214,550.51
  5. Step 5: Solve for x
    x = 214,550.51/398.18
  6. Step 6: Final answer
    x = 538.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.