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Finding the Fourth Proportional to 509.07, 763.44 and 335.73

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Solution

The fourth proportional to 509.07, 763.44 and 335.73 is: 503.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.07 : 763.44 = 335.73 : x
  2. Step 2: Convert to fraction form
    509.07/763.44 = 335.73/x
  3. Step 3: Cross multiply
    509.07x = 763.44 × 335.73
  4. Step 4: Simplify right side
    509.07x = 256,309.71
  5. Step 5: Solve for x
    x = 256,309.71/509.07
  6. Step 6: Final answer
    x = 503.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.