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Finding the Fourth Proportional to 508.56, 701.16 and 333.84

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Solution

The fourth proportional to 508.56, 701.16 and 333.84 is: 460.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.56 : 701.16 = 333.84 : x
  2. Step 2: Convert to fraction form
    508.56/701.16 = 333.84/x
  3. Step 3: Cross multiply
    508.56x = 701.16 × 333.84
  4. Step 4: Simplify right side
    508.56x = 234,075.25
  5. Step 5: Solve for x
    x = 234,075.25/508.56
  6. Step 6: Final answer
    x = 460.27

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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.