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Finding the Fourth Proportional to 509.54, 703.14 and 288.48

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Solution

The fourth proportional to 509.54, 703.14 and 288.48 is: 398.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.54 : 703.14 = 288.48 : x
  2. Step 2: Convert to fraction form
    509.54/703.14 = 288.48/x
  3. Step 3: Cross multiply
    509.54x = 703.14 × 288.48
  4. Step 4: Simplify right side
    509.54x = 202,841.83
  5. Step 5: Solve for x
    x = 202,841.83/509.54
  6. Step 6: Final answer
    x = 398.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.