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Finding the Fourth Proportional to 508.09, 699.63 and 419.24

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Solution

The fourth proportional to 508.09, 699.63 and 419.24 is: 577.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.09 : 699.63 = 419.24 : x
  2. Step 2: Convert to fraction form
    508.09/699.63 = 419.24/x
  3. Step 3: Cross multiply
    508.09x = 699.63 × 419.24
  4. Step 4: Simplify right side
    508.09x = 293,312.88
  5. Step 5: Solve for x
    x = 293,312.88/508.09
  6. Step 6: Final answer
    x = 577.29

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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.