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Finding the Fourth Proportional to 509.61, 702.26 and 361.99

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Solution

The fourth proportional to 509.61, 702.26 and 361.99 is: 498.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.61 : 702.26 = 361.99 : x
  2. Step 2: Convert to fraction form
    509.61/702.26 = 361.99/x
  3. Step 3: Cross multiply
    509.61x = 702.26 × 361.99
  4. Step 4: Simplify right side
    509.61x = 254,207.53
  5. Step 5: Solve for x
    x = 254,207.53/509.61
  6. Step 6: Final answer
    x = 498.83

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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.