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Finding the Fourth Proportional to 508.37, 761.67 and 446.00

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Solution

The fourth proportional to 508.37, 761.67 and 446.00 is: 668.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.37 : 761.67 = 446.00 : x
  2. Step 2: Convert to fraction form
    508.37/761.67 = 446.00/x
  3. Step 3: Cross multiply
    508.37x = 761.67 × 446.00
  4. Step 4: Simplify right side
    508.37x = 339,701.01
  5. Step 5: Solve for x
    x = 339,701.01/508.37
  6. Step 6: Final answer
    x = 668.22

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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.