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Finding the Fourth Proportional to 509.11, 702.59 and 285.04

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Solution

The fourth proportional to 509.11, 702.59 and 285.04 is: 393.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.11 : 702.59 = 285.04 : x
  2. Step 2: Convert to fraction form
    509.11/702.59 = 285.04/x
  3. Step 3: Cross multiply
    509.11x = 702.59 × 285.04
  4. Step 4: Simplify right side
    509.11x = 200,265.12
  5. Step 5: Solve for x
    x = 200,265.12/509.11
  6. Step 6: Final answer
    x = 393.36

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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.