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Finding the Fourth Proportional to 430.77, 594.41 and 244.23

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Solution

The fourth proportional to 430.77, 594.41 and 244.23 is: 337.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.77 : 594.41 = 244.23 : x
  2. Step 2: Convert to fraction form
    430.77/594.41 = 244.23/x
  3. Step 3: Cross multiply
    430.77x = 594.41 × 244.23
  4. Step 4: Simplify right side
    430.77x = 145,171.53
  5. Step 5: Solve for x
    x = 145,171.53/430.77
  6. Step 6: Final answer
    x = 337.00

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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.