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Finding the Fourth Proportional to 509.09, 701.29 and 368.79

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Solution

The fourth proportional to 509.09, 701.29 and 368.79 is: 508.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.09 : 701.29 = 368.79 : x
  2. Step 2: Convert to fraction form
    509.09/701.29 = 368.79/x
  3. Step 3: Cross multiply
    509.09x = 701.29 × 368.79
  4. Step 4: Simplify right side
    509.09x = 258,626.57
  5. Step 5: Solve for x
    x = 258,626.57/509.09
  6. Step 6: Final answer
    x = 508.02

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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.