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Finding the Fourth Proportional to 509.90, 704.02 and 313.66

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Solution

The fourth proportional to 509.90, 704.02 and 313.66 is: 433.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.90 : 704.02 = 313.66 : x
  2. Step 2: Convert to fraction form
    509.90/704.02 = 313.66/x
  3. Step 3: Cross multiply
    509.90x = 704.02 × 313.66
  4. Step 4: Simplify right side
    509.90x = 220,822.91
  5. Step 5: Solve for x
    x = 220,822.91/509.90
  6. Step 6: Final answer
    x = 433.07

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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.