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Finding the Fourth Proportional to 514.07, 709.47 and 304.31

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Solution

The fourth proportional to 514.07, 709.47 and 304.31 is: 419.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.07 : 709.47 = 304.31 : x
  2. Step 2: Convert to fraction form
    514.07/709.47 = 304.31/x
  3. Step 3: Cross multiply
    514.07x = 709.47 × 304.31
  4. Step 4: Simplify right side
    514.07x = 215,898.82
  5. Step 5: Solve for x
    x = 215,898.82/514.07
  6. Step 6: Final answer
    x = 419.98

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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.