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Finding the Fourth Proportional to 513.02, 707.67 and 419.82

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Solution

The fourth proportional to 513.02, 707.67 and 419.82 is: 579.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.02 : 707.67 = 419.82 : x
  2. Step 2: Convert to fraction form
    513.02/707.67 = 419.82/x
  3. Step 3: Cross multiply
    513.02x = 707.67 × 419.82
  4. Step 4: Simplify right side
    513.02x = 297,094.02
  5. Step 5: Solve for x
    x = 297,094.02/513.02
  6. Step 6: Final answer
    x = 579.11

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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.