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Finding the Fourth Proportional to 433.48, 598.21 and 237.00

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Solution

The fourth proportional to 433.48, 598.21 and 237.00 is: 327.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.48 : 598.21 = 237.00 : x
  2. Step 2: Convert to fraction form
    433.48/598.21 = 237.00/x
  3. Step 3: Cross multiply
    433.48x = 598.21 × 237.00
  4. Step 4: Simplify right side
    433.48x = 141,776.40
  5. Step 5: Solve for x
    x = 141,776.40/433.48
  6. Step 6: Final answer
    x = 327.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.