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Finding the Fourth Proportional to 508.07, 758.37 and 471.96

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Solution

The fourth proportional to 508.07, 758.37 and 471.96 is: 704.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.07 : 758.37 = 471.96 : x
  2. Step 2: Convert to fraction form
    508.07/758.37 = 471.96/x
  3. Step 3: Cross multiply
    508.07x = 758.37 × 471.96
  4. Step 4: Simplify right side
    508.07x = 357,920.75
  5. Step 5: Solve for x
    x = 357,920.75/508.07
  6. Step 6: Final answer
    x = 704.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.