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Finding the Fourth Proportional to 509.41, 759.70 and 460.20

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Solution

The fourth proportional to 509.41, 759.70 and 460.20 is: 686.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.41 : 759.70 = 460.20 : x
  2. Step 2: Convert to fraction form
    509.41/759.70 = 460.20/x
  3. Step 3: Cross multiply
    509.41x = 759.70 × 460.20
  4. Step 4: Simplify right side
    509.41x = 349,610.50
  5. Step 5: Solve for x
    x = 349,610.50/509.41
  6. Step 6: Final answer
    x = 686.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.