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Finding the Fourth Proportional to 509.55, 763.10 and 262.10

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Solution

The fourth proportional to 509.55, 763.10 and 262.10 is: 392.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.55 : 763.10 = 262.10 : x
  2. Step 2: Convert to fraction form
    509.55/763.10 = 262.10/x
  3. Step 3: Cross multiply
    509.55x = 763.10 × 262.10
  4. Step 4: Simplify right side
    509.55x = 200,009.11
  5. Step 5: Solve for x
    x = 200,009.11/509.55
  6. Step 6: Final answer
    x = 392.52

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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.