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Finding the Fourth Proportional to 509.19, 763.83 and 278.07

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Solution

The fourth proportional to 509.19, 763.83 and 278.07 is: 417.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.19 : 763.83 = 278.07 : x
  2. Step 2: Convert to fraction form
    509.19/763.83 = 278.07/x
  3. Step 3: Cross multiply
    509.19x = 763.83 × 278.07
  4. Step 4: Simplify right side
    509.19x = 212,398.21
  5. Step 5: Solve for x
    x = 212,398.21/509.19
  6. Step 6: Final answer
    x = 417.13

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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.