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Finding the Fourth Proportional to 509.12, 702.60 and 302

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Solution

The fourth proportional to 509.12, 702.60 and 302 is: 416.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.12 : 702.60 = 302 : x
  2. Step 2: Convert to fraction form
    509.12/702.60 = 302/x
  3. Step 3: Cross multiply
    509.12x = 702.60 × 302
  4. Step 4: Simplify right side
    509.12x = 212,185.20
  5. Step 5: Solve for x
    x = 212,185.20/509.12
  6. Step 6: Final answer
    x = 416.77

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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.