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Finding the Fourth Proportional to 508.72, 761.72 and 431.44

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Solution

The fourth proportional to 508.72, 761.72 and 431.44 is: 646.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.72 : 761.72 = 431.44 : x
  2. Step 2: Convert to fraction form
    508.72/761.72 = 431.44/x
  3. Step 3: Cross multiply
    508.72x = 761.72 × 431.44
  4. Step 4: Simplify right side
    508.72x = 328,636.48
  5. Step 5: Solve for x
    x = 328,636.48/508.72
  6. Step 6: Final answer
    x = 646.01

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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.