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Finding the Fourth Proportional to 509.82, 763.08 and 432.06

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Solution

The fourth proportional to 509.82, 763.08 and 432.06 is: 646.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.82 : 763.08 = 432.06 : x
  2. Step 2: Convert to fraction form
    509.82/763.08 = 432.06/x
  3. Step 3: Cross multiply
    509.82x = 763.08 × 432.06
  4. Step 4: Simplify right side
    509.82x = 329,696.34
  5. Step 5: Solve for x
    x = 329,696.34/509.82
  6. Step 6: Final answer
    x = 646.69

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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.