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Finding the Fourth Proportional to 399.86, 598.84 and 237.04

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Solution

The fourth proportional to 399.86, 598.84 and 237.04 is: 355.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.86 : 598.84 = 237.04 : x
  2. Step 2: Convert to fraction form
    399.86/598.84 = 237.04/x
  3. Step 3: Cross multiply
    399.86x = 598.84 × 237.04
  4. Step 4: Simplify right side
    399.86x = 141,949.03
  5. Step 5: Solve for x
    x = 141,949.03/399.86
  6. Step 6: Final answer
    x = 355.00

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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.