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Finding the Fourth Proportional to 509.18, 702.77 and 369.95

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Solution

The fourth proportional to 509.18, 702.77 and 369.95 is: 510.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.18 : 702.77 = 369.95 : x
  2. Step 2: Convert to fraction form
    509.18/702.77 = 369.95/x
  3. Step 3: Cross multiply
    509.18x = 702.77 × 369.95
  4. Step 4: Simplify right side
    509.18x = 259,984.40
  5. Step 5: Solve for x
    x = 259,984.40/509.18
  6. Step 6: Final answer
    x = 510.60

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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.