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Finding the Fourth Proportional to 503.07, 694.67 and 419.34

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Solution

The fourth proportional to 503.07, 694.67 and 419.34 is: 579.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.07 : 694.67 = 419.34 : x
  2. Step 2: Convert to fraction form
    503.07/694.67 = 419.34/x
  3. Step 3: Cross multiply
    503.07x = 694.67 × 419.34
  4. Step 4: Simplify right side
    503.07x = 291,300.82
  5. Step 5: Solve for x
    x = 291,300.82/503.07
  6. Step 6: Final answer
    x = 579.05

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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.